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Algebra and Discrete Mathematics, 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
Full-text PDF (134 kB)
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.
Received: 10.02.2003
Bibliographic databases:
Document Type: Article
MSC: 20M05, 20M50
Language: English
Citation: B. V. Novikov, “Principal quasi-ideals of cohomological dimension 1”, Algebra Discrete Math., 2003, no. 1, 87–92
Citation in format AMSBIB
\Bibitem{Nov03}
\by B.~V.~Novikov
\paper Principal quasi-ideals of cohomological dimension~1
\jour Algebra Discrete Math.
\yr 2003
\issue 1
\pages 87--92
\mathnet{http://mi.mathnet.ru/adm371}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2051641}
\zmath{https://zbmath.org/?q=an:1037.20060}
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