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On power varieties of semigroups

โœ Scribed by J Almeida


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
872 KB
Volume
120
Category
Article
ISSN
0021-8693

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A solid variety is a variety in which every identity holds as a hyperidentity, that is, we substitute not only elements for the variables but also term operations for the operational symbols. There are obvious necessary conditions for a variety of semigroups to be solid. We will show here that these

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We describe all minimal noncryptic e-varieties of regular semigroups, thus generalising earlier results by Rasin and Reilly that dealt with the completely regular and the inverse cases, respectively. As corollaries, we prove that an e-variety of regular semigroups is cryptic if and only if its inter