Algebra Discrete Math., 2003 Issue 1, Pages 87–92
(Mi adm371)
|
RESEARCH ARTICLE
Principal quasi-ideals of cohomological dimension 1
B. V. Novikov Saltovskoye shosse 258, apt. 20, 61178, Kharkov, Ukraine
Abstract:
We prove that a principal quasi-ideal of a non-commutative free semigroup has cohomological dimension 1 if and only if it is free.
Keywords:
cohomology of semigroups, cohomological dimension, quasi-ideal, free semigroup.
MSC: 20M05,
20M50 Received: 10.02.2003
Language: English
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