Matrix rank 1 semigroup identities
作者:
G. Mashevitzky,
期刊:
Communications in Algebra
(Taylor Available online 1994)
卷期:
Volume 22,
issue 9
页码: 3553-3562
ISSN:0092-7872
年代: 1994
DOI:10.1080/00927879408825041
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
A finite basis of identities is constructed for the semigroup of all rank 1 n × n matrices over the field. It is worthy to notice that every semigroup of all rank r, r > l,n×n matrices over a finite field has no finite basis of identities. Let G be an arbitrary variety of groups with a finite basis of identities. A finite basis of identities is constructed for the variety generated by all completely 0-simple semigroups over G-groups.
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