This article is cited in 7 papers

Distributive and neutral elements of the lattice of commutative semigroup varieties

V. Yu. Shaprynskii

Chair of Algebra and Discrete Mathematics, Ural State University, Ekaterinburg, Russia

Abstract: We completely determine commutative semigroup varieties that are distributive, standard or neutral elements of the lattice of all commutative semigroup varieties. In particular, it turns out that the properties of being a distributive element and of being a standard element in this lattice are equivalent.

Keywords: semigroup, variety, lattice, distributive element, neutral element, standard element.

UDC: 512.532

Received: 01.03.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:7, 56–67

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