Results 31 to 40 of about 1,010 (185)
On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
Mathematics, 2022 Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M.
Sergey Mikhailovich Dudakov
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Illinois Journal of Mathematics, 1986 Let \(X\) be an associative ring. An \(X\)-group is a group \(G\) equipped with an action \(G\times X\to G\), \((g,x)\to g^ x\) such that \(g^ 1=g\), \((g^ x)^ y=g^{xy}\), \(g^ xg^ y=g^{x+y}\) for any \(x,y\in X\) and \(g\in G\). These groups were introduced by \textit{R. C. Lyndon} [Trans. Am. Math. Soc. 96, 518-533 (1960; Zbl 0108.02501)].
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Free Boolean Topological Groups
Axioms, 2015 Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given.
Ol’ga Sipacheva
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n-capability of A-groups [PDF]
Mathematics Interdisciplinary Research, 2020 Following P. Hall a soluble group whose Sylow subgroups are all abelian is called A-group. The purpose of this article is to give a new and shorter proof for a criterion on the capability of A-groups of order p2q, where p and q are distinct primes ...
Marzieh Chakaneh +2 more
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Emergent Spin Hall Quantization and High‐Order van Hove singularities in Square‐Octagonal MA2Z4
Advanced Physics Research, EarlyView.Square‐octagonal MA2Z4 (M = Mo/W, A = Si/Ge, Z = pnictogen) monolayers are predicted to realize quantum spin Hall insulators with nearly quantized spin Hall conductivity enabled by an emergent spin U(1) quasi‐symmetry. Materials with Z = As and Sb host quasi‐flat bands with high‐order van Hove singularities near the Fermi level, making them promising ...
Rahul Verma +3 more
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Some special classes of n-abelian groups [PDF]
International Journal of Group Theory, 2012 Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Many phases of generalized 3D instanton crystals
SciPost Physics, 2021 Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. In this article we initiate the analysis of the three-dimensional crystal
Matti Jarvinen, Vadim Kaplunovsky, Jacob Sonnenschein
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The abelianization of almost free groups [PDF]
Proceedings of the American Mathematical Society, 2000 Es wird eine Gruppe \(G\) der Mächtigkeit \(\aleph_1\) konstruiert, die nicht frei ist, aber deren abzählbare Untergruppen alle frei sind derart, dass auch die Kommutator-Faktorgruppe \(G/G'\) frei-abelsch ist. Dabei ist \(G'=[G,G]\) die Kommutator-Untergruppe von \(G\).
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On Superstable Expansions of Free Abelian Groups [PDF]
Notre Dame Journal of Formal Logic, 2018 We prove that $(\Z,+,0)$ has no proper superstable expansions of finite Lascar rank. Nevertheless, this structure equipped with a predicate defining powers of a given natural number is superstable of Lascar rank $ $. Additionally, our methods yield other superstable expansions such as $(\Z,+,0)$ equipped with the set of factorial elements.
Palacín, Daniel, Sklinos, Rizos
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