|
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 7, Pages 67–79
(Mi ivm7699)
|
|
|
|
This article is cited in 7 scientific papers (total 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.
Received: 01.03.2010
Citation:
V. Yu. Shaprynskii, “Distributive and neutral elements of the lattice of commutative semigroup varieties”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 7, 67–79; Russian Math. (Iz. VUZ), 55:7 (2011), 56–67
Linking options:
https://www.mathnet.ru/eng/ivm7699 https://www.mathnet.ru/eng/ivm/y2011/i7/p67
|
Statistics & downloads: |
Abstract page: | 283 | Full-text PDF : | 73 | References: | 38 | First page: | 19 |
|