The lattice of semigroup varieties

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1971 Germany English Publisher:Springer Science and Business Media LLCJournal:Semigroup Forum, volume 2, pages 1-43 (issn: 0037-1912, eissn: 1432-2137,

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Authors: Evans, T.;

doi: 10.1007/bf02572269

The lattice of semigroup varieties

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Abstract

Semigroups are considered here in terms of the identities which they may satisfy with the emphasis on the identities and on classes of semigroups defined by identities, rather than on the semigroups themselves. These classes, called varieties, form a lattice under inclusion and it is illuminating to interpret properties of semigroup identities and varieties in terms of this lattice, its cardinality, its atoms, its infinite chains, and so on.

Country

Germany

Related Organizations

Emory University
United States
DigiZeitschriften
Germany

Keywords

510.mathematics, Article, Varieties and pseudovarieties of semigroups

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