关联二元数和关联数的非阿贝尔扩展

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2024-02-01 DOI:10.1007/s40062-024-00341-w

Yunhe Sheng, You Wang

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引用次数: 0

摘要

在本文中，我们利用关联 2- 代数同态来研究关联代数的非阿贝尔扩展。首先，我们利用关联代数的双乘法构建关联 2- 代数。然后，我们利用关联 2- 代数同态对关联代数的非阿贝尔扩展进行分类。最后，我们分析了关联代数的非阿贝尔扩展与相应换元李代数的非阿贝尔扩展之间的关系。

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Associative 2-algebras and nonabelian extensions of associative algebras

In this paper, we study nonabelian extensions of associative algebras using associative 2-algebra homomorphisms. First we construct an associative 2-algebra using the bimultipliers of an associative algebra. Then we classify nonabelian extensions of associative algebras using associative 2-algebra homomorphisms. Finally we analyze the relation between nonabelian extensions of associative algebras and nonabelian extensions of the corresponding commutator Lie algebras.

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.