On Semisimple Commutative Semigroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1975Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 208, page 341 (issn: 0002-9947,

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Authors: Arendt, B. D.;

doi: 10.2307/1997290 , 10.1090/s0002-9947-1975-0379699-4

On Semisimple Commutative Semigroups

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Abstract

This paper presents an application of radical theory to the structure of commutative semigroups via their semilattice decomposition. Maximal group congruences and semisimplicity are characterized for certain classes of commutative semigroups and N N -semigroups.

Keywords

Structure theory of lattices, General structure theory for semigroups

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