Separability of Nonassociative Algebras with Metagroup Relations

被引：5
作者：
Ludkowski, Sergey, V [1 ]
机构：
[1] MIREA Russian Technol Univ, Dept Appl Math, Av Vernadsky 78, Moscow 119454, Russia
来源：
AXIOMS | 2019年 / 8卷 / 04期
关键词：
algebra; nonassociative; separable; ideal; cohomology;
D O I：
10.3390/axioms8040139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is devoted to a class of nonassociative algebras with metagroup relations. This class includes, in particular, generalized Cayley-Dickson algebras. The separability of the nonassociative algebras with metagroup relations is investigated. For this purpose the cohomology theory is utilized. Conditions are found under which such algebras are separable. Algebras satisfying these conditions are described.
引用
收藏
页数：8
相关论文
共 34 条
  • [1] [Anonymous], 2007, ALGEBRA
  • [2] [Anonymous], 2017, RUSS TECHNOL J, DOI DOI 10.32362/2500-316X-2017-5-2-47-56
  • [3] [Anonymous], STRUCTURE REPRESENTA
  • [4] [Anonymous], ALGEBRE
  • [5] [Anonymous], 1978, Partial differential equations
  • [6] [Anonymous], 1966, An Introduction to Nonassociative Algebras
  • [7] [Anonymous], 1975, COLLECTED MATH PAPER
  • [8] [Anonymous], 1994, ALGEBR LOG+
  • [9] [Anonymous], 2012, ELECT J DIFFERENTIAL
  • [10] Blahut R. E., 2003, Algebraic Codes for Data Transmission
1234