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4.0

Jun 28, 2018
06/18

by
Alex Bartel; Hendrik W. Lenstra

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We develop a theory of commensurability of groups, of rings, and of modules. It allows us, in certain cases, to compare sizes of automorphism groups of modules, even when those are infinite. This work is motivated by the Cohen-Lenstra heuristics on class groups. The number theoretic implications will be addressed in a separate paper.

Topics: Number Theory, Mathematics, Rings and Algebras

Source: http://arxiv.org/abs/1510.02758

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2.0

Jun 29, 2018
06/18

by
Paweł Gładki; Murray Marshall

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Two fields are Witt equivalent if their Witt rings of symmetric bilinear forms are isomorphic. Witt equivalent fields can be understood to be fields having the same quadratic form theory. The behavior of finite fields, local fields, global fields, as well as function fields of curves defined over archimedean local fields under Witt equivalence is well-understood. Numbers of classes of Witt equivalent fields with finite numbers of square classes are also known in some cases. Witt equivalence of...

Topics: Rings and Algebras, Mathematics

Source: http://arxiv.org/abs/1601.08085

0
0.0

Mar 10, 2021
03/21

by
Dylan Lathrum (Dylancyclone)

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Customized version of https://www.thingiverse.com/thing:188275 Created with Customizer! https://www.thingiverse.com/apps/customizer/run?thing_id=188275

Topics: customized, stl, thingiverse, Rings

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6.0

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Topics: Radio Program, Dairy products, Desserts, English cuisine, World cuisine, Bus transport, Christian...

Topics: Radio Program, Personal finance, Income, Stock market, Financial markets, Welfare state, Christian...

2
2.0

Jun 29, 2018
06/18

by
Abyzov Adel Nailevich; Truong Cong Quynh; Tran Hoai Ngoc Nhan

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The aim of this paper is to study the notions of $\mathcal{A}$-C3 and $\mathcal{A}$-D3 modules for some class $\mathcal{A}$ of right modules. Several characterizations of these modules are provided and used to describe some well-known classes of rings and modules. For example, a regular right $R$-module $F$ is a $V$-module if and only if every $F$-cyclic module $M$ is an $\mathcal{A}$-C3 module where $\mathcal{A}$ is the class of all simple submodules of $M$. Moreover, let $R$ be a right...

Topics: Rings and Algebras, Mathematics

Source: http://arxiv.org/abs/1609.04052

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Topics: Radio Program, G20 nations, Marriage, Rings, Traditions, Christian liturgy, rites, and worship...

2
2.0

Jun 30, 2018
06/18

by
Clément de Seguins Pazzis

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Let $U$ and $V$ be vector spaces over a field $\mathbb{K}$, and $\mathcal{S}$ be an $n$-dimensional linear subspace of $\mathcal{L}(U,V)$. The space $\mathcal{S}$ is called algebraically reflexive whenever it contains every linear map $g : U \rightarrow V$ such that, for all $x \in U$, there exists $f \in \mathcal{S}$ with $g(x)=f(x)$. A theorem of Meshulam and \v{S}emrl states that if $\mathcal{S}$ is not algebraically reflexive then it contains a non-zero operator $f$ of rank at most $2n-2$,...

Topics: Mathematics, Functional Analysis, Rings and Algebras

Source: http://arxiv.org/abs/1406.3367

Topics: Radio Program, Investment, Financial markets, American journalists, Christian liturgy, rites, and...

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Topics: Radio Program, Christmas decorations, Legal professions, Mass media, UK MPs 2010–, Marriage,...

2
2.0

Jun 30, 2018
06/18

by
Sunil K. Chebolu; Keir Lockridge

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Laszlo Fuchs posed the following problem in 1960, which remains open: classify the abelian groups occurring as the group of all units in a commutative ring. In this note, we provide an elementary solution to a simpler, related problem: find all cardinal numbers occurring as the cardinality of the group of all units in a commutative ring. As a by-product, we obtain a solution to Fuchs' problem for the class of finite abelian $p$-groups when $p$ is an odd prime.

Topics: Group Theory, Rings and Algebras, Commutative Algebra, Mathematics

Source: http://arxiv.org/abs/1701.02341

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Topics: Radio Program, New York Democrats, American businesspeople, American singers, American...

2
2.0

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Topics: Radio Program, Rings, Traditions, Marriage, Engagement, Critics of the European Union, Religious...

Topics: Metropolitan Museum of Art, Metal, Rings, Asia, Buckles, Gilt, Japan, Copper alloy, Metalwork,...

Topics: Radio Program, Divided regions, East Asian countries, G20 nations, Republics, Single-party states,...

5
5.0

Jun 30, 2018
06/18

by
Jianmin Chen; Xiao-Wu Chen; Zhenqiang Zhou

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We formulate a version of Beck's monadicity theorem for abelian categories, which is applied to the equivariantization of abelian categories with respect to a finite group action. We prove that the equivariantization is compatible with the construction of quotient abelian categories by Serre subcategories. We prove that the equivariantization of the graded module category over a graded ring is equivalent to the graded module category over the same ring but with a different grading. We deduce...

Topics: Mathematics, Rings and Algebras, Representation Theory, Algebraic Geometry

Source: http://arxiv.org/abs/1408.0028

Topics: Radio Program, Neurotrauma, African-American actors, Health, East Asian countries, Divided regions,...

2
2.0

Jun 29, 2018
06/18

by
Andrei L. Kanunnikov

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We present two criteria for a group $G$ to satisfy the following statements: any $G$-graded gr-prime (gr-semiprime) right gr-Goldie ring admits a gr-semisimple graded right classical quotient ring. The criterion for gr-semiprime rings is that the group $G$ is periodic. Actually, the sufficiency of periodicity was proved by the author in 2011 and the necessity of it follows from the well-known counterexample (1979). The main result of the paper concerns the gr-prime case. In this case, Goodearl...

Topics: Rings and Algebras, Mathematics

Source: http://arxiv.org/abs/1606.07031

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9.0

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Topics: Radio Program, American female singers, American male singers, Traditions, Marriage, American...

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7.0

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Topics: Radio Program, Members of the Privy Council of the United Kingdom, Conservative Party (UK) MPs, UK...

2
2.0

Jun 30, 2018
06/18

by
I. Heckenberger; L. Vendramin

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Over fields of arbitrary characteristic we classify all braid-indecomposable tuples of at least two absolutely simple Yetter-Drinfeld modules over non-abelian groups such that the group is generated by the support of the tuple and the Nichols algebra of the tuple is finite-dimensional. Such tuples are classified in terms of analogs of Dynkin diagrams which encode much information about the Yetter-Drinfeld modules. We also compute the dimensions of these finite-dimensional Nichols algebras. Our...

Topics: Quantum Algebra, Mathematics, Rings and Algebras, Group Theory

Source: http://arxiv.org/abs/1412.0857

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5.0

Jun 29, 2018
06/18

by
Seungjai Lee; Christopher Voll

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We compute the zeta functions enumerating graded ideals in the graded Lie rings associated with the free $d$-generator Lie rings $\mathfrak{f}_{c,d}$ of nilpotency class $c$ for all $c\leq2$ and for $(c,d)\in\{(3,3),(3,2),(4,2)\}$. We apply our computations to obtain information about $\mathfrak{p}$-adic, reduced, and topological zeta functions, in particular pertaining to their degrees and some special values.

Topics: Group Theory, Rings and Algebras, Mathematics

Source: http://arxiv.org/abs/1606.04515

Topics: Radio Program, National Football League announcers, American football quarterbacks, American...

0
0.0

Apr 27, 2021
04/21

by
Bryan Buckley (BryanJared)

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Simple ring holder designed to help keep several rings both organized and together

Topics: Rings, stl, thingiverse

Topics: Radio Program, Health, Member states of the United Nations, Sociological terminology, Advertising,...

Topics: Radio Program, Personal finance, Project management, American businesspeople, Companies listed on...

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8.0

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Topics: Radio Program, Marriage, Pop art, Banking, Legal terms, Cleaning, Home automation, Home appliances,...

Topics: Metropolitan Museum of Art, Java, Jewelry, Gold, Metal, Indonesia, Rings, Asia, Costume, Gold,...

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12

Jun 26, 2018
06/18

by
Yanyong Hong

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A quadratic Lie conformal algebra corresponds to a Hamiltonian pair in \cite{GD}, which plays fundamental roles in completely integrable systems. Moreover, it also corresponds to certain compatible pairs of a Lie algebra and a Novikov algebra which is called Gel'fand-Dorfman bialgebra by Xu in \cite{X1}. In this paper, central extensions and conformal derivations of quadratic Lie conformal algebras are studied in terms of Gel'fand-Dorfman bialgebras. It is shown that central extensions and...

Topics: Mathematics, Mathematical Physics, Rings and Algebras, Quantum Algebra

Source: http://arxiv.org/abs/1502.02770

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41

Apr 26, 2017
04/17

by
The Rebel Ethic

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After the cliff hanger from our last episode, Chris delves into his disdain for The Lord of the Rings film franchise, the Rebel Ethic talks Star Wars, and why maybe Return of the Sith wasn't that bad. Or was it?

Topics: star wars, podcast, christian, lord of the rings, the hobbit, books, narratives, the rebel ethic,...

11
11

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Topics: Radio Program, Local government in the United Kingdom, Elections, Housing, Marriage, Local taxation...

Topics: Radio Program, American Protestants, American political writers, African-American history, American...

2
2.0

Jun 30, 2018
06/18

by
Ted Hurley

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Algebraic methods for the construction, design and analysis of series of convolutional codes using row or block structures of unit schemes are developed. The general methods lead to the construction andanalysis of series and infinite series of types of convolutional codes and of codes with specific properties. Explicit examples are given and properties may be shown algebraically. Algebraic decoding methods are derived for some of the constructions. Convolutional codes at or near the maximum...

Topics: Mathematics, Rings and Algebras, Discrete Mathematics, Computing Research Repository, Information...

Source: http://arxiv.org/abs/1412.1695

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Topics: Radio Program, Payment systems, Giving, Epic Records artists, Musical trios, Cities in the San...

3
3.0

Jun 28, 2018
06/18

by
Matthias Aschenbrenner; Lou van den Dries; Joris van der Hoeven

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We show that the natural embedding of the differential field of transseries into Conway's field of surreal numbers with the Berarducci-Mantova derivation is an elementary embedding. We also prove that any Hardy field embeds into the field of surreals with the Berarducci-Mantova derivation.

Topics: Rings and Algebras, Logic, Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1512.02267

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Topics: Radio Program, Radio formats, Christian liturgy, rites, and worship services, Marriage, American...

Topics: Radio Program, Public services, Health, Quality, Real estate, Banking, Traditions, Community,...

5
5.0

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12:00:00PM-03:00:00PM BST — Laurence Reed Victoria Graham sits in (23/10/2019) Victoria Graham sits in with the lunchtime phone-in. Call in on 0808 100 1039.

Topics: Radio Program, British politicians, G20 nations, Members of the United Kingdom Parliament for...

Topics: Radio Program, Rings, American Conference Pro Bowl players, American football running backs,...

2
2.0

Jun 29, 2018
06/18

by
Jaime Castro Pérez; Mauricio Medina Bárcenas; José Ríos Montes; Angel Zaldívar

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For an $R$-module $M$, projective in $\sigma[M]$ and satisfying ascending chain condition (ACC) on left annihilators, we introduce the concept of Goldie module. We also use the concept of semiprime module defined by Raggi et. al. in \cite{S} to give necessary and sufficient conditions for an $R$-module $M$, to be a semiprime Goldie module. This theorem is a generalization of Goldie's theorem for semiprime left Goldie rings. Moreover, we prove that $M$ is a semiprime (prime) Goldie module if and...

Topics: Rings and Algebras, Mathematics

Source: http://arxiv.org/abs/1601.03436

Topics: Radio Program, Law in the United Kingdom, American politicians, Legal professions, American Roman...

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7.0

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Topics: Radio Program, American lawyers, American political writers, American Protestants, Harvard Law...

Topics: Radio Program, Firearms, Property law, Nutrition, Taxation, American political writers, Legal...

Topics: Radio Program, Traditions, Marriage, Personal finance, Giving, Animal rights, Payment systems,...

Topics: Radio Program, Law enforcement, Transport, Broadcasting, Rings, Traditions, Religious behaviour and...

6
6.0

Jun 30, 2018
06/18

by
Anatolij Dvurečenskij; Omid Zahiri

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Recently Jenei introduced a new structure called equality algebras which is inspired by ideas of BCK-algebras with meet. These algebras were generalized by Jenei and K\'or\'odi to pseudo equality algebras which are aimed to find a connection with pseudo BCK-algebras with meet. We show that every pseudo equality algebra is an equality algebra. Therefore, we define a new type of pseudo equality algebras which more precisely reflects the relation to pseudo BCK-algebras with meet in the sense of...

Topics: Mathematics, Rings and Algebras, Commutative Algebra

Source: http://arxiv.org/abs/1405.5807

Topics: Radio Program, Republics, Toxicology, Divided regions, Environment, Member states of the United...

5
5.0

Jun 29, 2018
06/18

by
Michelle Rabideau

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For cluster algebras from surfaces, there is a known formula for cluster variables and F-polynomials in terms of the perfect matchings of snake graphs. If the cluster algebra has trivial coefficients, there is also a known formula for cluster variables in terms of continued fractions. In this paper, we extend this result to cluster algebras with principal coefficients by producing a formula for the F-polynomials in terms of continued fractions.

Topics: Combinatorics, Rings and Algebras, Mathematics

Source: http://arxiv.org/abs/1612.06845

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Topics: Radio Program, Christmas traditions, Christmas decorations, Court systems, Christian liturgy,...

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3.0

Jun 30, 2018
06/18

by
Keli Zheng; Yongzheng Zhang

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This paper is primarily concerned with generalized reduced Verma modules over $\mathbb{Z}$-graded modular Lie superalgebras. Some properties of the generalized reduced Verma modules and the coinduced modules are obtained. Moreover, the invariant forms on the generalized reduced Verma modules are considered. In particular, we prove that the generalized reduced Verma module is isomorphic to the mixed product for modules of $\mathbb{Z}$-graded modular Lie superalgebras of Cartan type.

Topics: Mathematics, Rings and Algebras, Representation Theory

Source: http://arxiv.org/abs/1404.0543