Irreducibility of certain pseudovarieties1
作者:
S. Margolis,
M. Sapir,
P. Weil,
期刊:
Communications in Algebra
(Taylor Available online 1998)
卷期:
Volume 26,
issue 3
页码: 779-792
ISSN:0092-7872
年代: 1998
DOI:10.1080/00927879808826163
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
We prove that the pseudovarieties of all finite semigroups, and of all aperiodic finii e semigroups are irreducible for join, for semidirect product and for Mal’cev product. In particular, these pseudovarieties do not admit maximal proper subpseudovarieties. More generally, analogous results are proved for the pseudovariety of all finite semigroups all of whose subgroups are in a fixed pseudovariety of groups H, provided th.it H is closed under semidirect product.
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