Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities

被引：7
作者：
Isaev, I. M. [1 ]
Kislitsin, A. V. [1 ]
机构：
[1] Altai State Pedag Acad, Barnaul 656031, Russia
来源：
ALGEBRA AND LOGIC | 2013年 / 52卷 / 04期
关键词：
identity in algebra; identity in vector space; basis of identities; essentially infinite basicity; strongly infinite basicity;
D O I：
10.1007/s10469-013-9243-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Identities in vector spaces embedded in linear algebras are considered. Issues in finite basicity of identities for vector spaces, as well as for finite-dimensional linear (nonassociative) algebras, are investigated. Essentially infinitely based and strongly infinitely based vector spaces and nonassociative linear algebras are exemplified.
引用
收藏
页码：290 / 307
页数：18
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