Topic
Bicyclic semigroup
About: Bicyclic semigroup is a research topic. Over the lifetime, 1507 publications have been published within this topic receiving 19311 citations.
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TL;DR: Two new types of hereditarily finitely based identity systems are presented and two of these systems establish the hereditary finite basis property of every semigroup of order five or less with one possible exception.
Abstract: A system of semigroup identities is hereditarily finitely based if it defines a variety all semigroups of which are finitely based. Two new types of hereditarily finitely based identity systems are presented. Two of these systems, together with eight existing systems, establish the hereditary finite basis property of every semigroup of order five or less with one possible exception.
25 citations
TL;DR: In this paper, the authors describe the structure of WA in the singular case and the criterion for distributivity of the M -modules WCd' since the necessary conditions for that established in [ 1: 8.51 limit d tod
25 citations
TL;DR: In this paper, an example of such an involution semigroup of order n + 5 for any positive integer n is presented, and the reduct of which is non-nitely based.
Abstract: Since the study of the nite basis problem for nite semigroups began in the 1960s, it has been unknown if there exists any nite involution semigroup that is nitely based but the reduct of which is non-nitely based. The present article exhibits an example of such an involution semigroup of order n + 5 for any positive integer n.
25 citations
25 citations
25 citations