Subsemigroups of completely simple semigroups II
Copyright policy )Subsemigroups of completely simple semigroups II
[For part II cf. Semigroup Forum 47, No. 1, 126-129 (1993; Zbl 0813.20067).] The quasivariety \(CS_s\) of subsemigroups of completely simple semigroups \((CSS)\) is not finitely based. Infinite quasi-identity bases are constructed for both the above class and for subsemigroups of groups. Also, a ``free'' \(CSS\) is constructed over \(S \in CS_s\) such that every \(CSS\) containing an isomorphic copy of \(S\) contains a homomorphic image of \(C\).
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- Marquette University United States
completely simple semigroups, Free semigroups, generators and relations, word problems, quasi-identity bases, quasivarieties, Regular semigroups, right quotient semigroups, Article, Varieties and pseudovarieties of semigroups, 510.mathematics, dual quasi-identities, right orders, Mappings of semigroups, variety of semigroups, completely simple semigroup, General structure theory for semigroups, Quasivarieties
completely simple semigroups, Free semigroups, generators and relations, word problems, quasi-identity bases, quasivarieties, Regular semigroups, right quotient semigroups, Article, Varieties and pseudovarieties of semigroups, 510.mathematics, dual quasi-identities, right orders, Mappings of semigroups, variety of semigroups, completely simple semigroup, General structure theory for semigroups, Quasivarieties
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