Klaus Denecke ; Jörg Koppitz ; Nittiya Pabhapote
Discussiones Mathematicae - General Algebra and Applications, Tome 28 (2008), p. 91-119 / Harvested from The Polish Digital Mathematics Library
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A regular hypersubstitution is a mapping which takes every ni-ary operation symbol to an ni-ary term. A variety is called regular-solid if it contains all algebras derived by regular hypersubstitutions. We determine the greatest regular-solid variety of semigroups. This result will be used to give a new proof for the equational description of the greatest solid variety of semigroups. We show that every variety of semigroups which is finitely based by hyperidentities is also finitely based by identities.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:276942 
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Klaus Denecke; Jörg Koppitz; Nittiya Pabhapote. . Discussiones Mathematicae - General Algebra and Applications, Tome 28 (2008) pp. 91-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1137/

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