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Displaying similar documents to “Green's-like relations on algebras and varieties.”

Pre-solid varieties of semigroups

K. Denecke, Jörg Koppitz (1995)

Archivum Mathematicum

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Pre-hyperidentities generalize the concept of a hyperidentity. A variety V is said to be pre-solid if every identity in V is a pre-hyperidentity. Every solid variety is pre-solid. We consider pre-solid varieties of semigroups which are not solid, determine the smallest and the largest of them, and some elements in this interval.

On permutability in semigroup varieties

Bedřich Pondělíček (1991)

Mathematica Bohemica

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The paper contains characterizations of semigroup varieties whose semigroups with one generator (two generators) are permutable. Here all varieties of regular * -semigroups are described in which each semigroup with two generators is permutable.