Results 1 to 10 of about 1,310,702 (229)
Abelian Extensions and Solvable Loops [PDF]
Results in Mathematics, 2014 Based on the recent development of commutator theory for loops, we provide both syntactic and semantic characterization of abelian normal subloops. We highlight the analogies between well known central extensions and central nilpotence on one hand, and abelian extensions and congruence solvability on the other hand.
David Stanovský, Petr Vojtěchovský
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On separable abelian extensions of rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 Let R be a ring with 1, G(=〈ρ1〉×…×〈ρm〉) a finite abelian automorphism group of R of order n where 〈ρi〉 is cyclic of order ni. for some integers n, ni, and m, and C the center of R whose automorphism group induced by G is isomorphic with G.
George Szeto
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On the CP exterior product of Lie algebras [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, under certain conditions, we show that the non-abelian CP exterior product distributes over direct product of Lie algebras. Then we present some properties about CP extension of Lie algebras.
Zeinab Araghi Rostami
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Generalized Einstein gravities and generalized AdS symmetries
Nuclear Physics B, 2022 We consider the curvatures 2-form associated with AdSL4-valued one-form gauge connection, and then we construct a four-dimensional action that generalize the Einstein-Hilbert gravity.
L. Cárdenas +3 more
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Discrete theta angles, symmetries and anomalies
SciPost Physics, 2021 Gauge theories in various dimensions often admit discrete theta angles, that arise from gauging a global symmetry with an additional symmetry protected topological (SPT) phase.
Po-Shen Hsin, Ho Tat Lam
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An extension and a generalization of Dedekind's theorem [PDF]
International Journal of Group Theory, 2017 For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroups. The factorizations is an extension of Dedekind's theorem. The extension leads to a generalization of Dedekind's theorem.
Naoya Yamaguchi
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The Extension Dimension of Abelian Categories [PDF]
Algebras and Representation Theory, 2019 Let $\A$ be an abelian category having enough projective objects and enough injective objects. We prove that if $\A$ admits an additive generating object, then the extension dimension and the weak resolution dimension of $\A$ are identical, and they are at most the representation dimension of $\A$ minus two.
Zheng, Junling, Ma, Xin, Huang, Zhaoyong
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K-Groups of Trivial Extensions and Gluings of Abelian Categories
Mathematics, 2021 This paper focuses on the Ki-groups of two types of extensions of abelian categories, which are the trivial extension and the gluing of abelian categories.
Qinghua Chen, Min Zheng
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Higher Extensions of Abelian Varieties [PDF]
Nagoya Mathematical Journal, 1968 In this paper we prove:THEOREM: Let k be an algebraically closed field of characteristic p > 0, and let X and Y be abelian varieties over k. Then the group Ext2(X, Y) = 0.
Oort, Frans, Oda, Tadao
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Non-Abelian Gravitoelectromagnetism and Applications at Finite Temperature
Advances in High Energy Physics, 2020 Studies about a formal analogy between the gravitational and the electromagnetic fields lead to the notion of Gravitoelectromagnetism (GEM) to describe gravitation.
A. F. Santos, J. Ramos, Faqir C. Khanna
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