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of 8
pro vyhledávání: '"Shaprynskii, V. Yu."'
We completely determine all semigroup [epigroup] varieties that are cancellable elements of the lattice of all semigroup [respectively epigroup] varieties.
Comment: 17 pages, 3 figures. Compared with the previous version, we add Corollary 1.4 an
Comment: 17 pages, 3 figures. Compared with the previous version, we add Corollary 1.4 an
Externí odkaz:
http://arxiv.org/abs/1810.01610
We study special elements of eight types (namely, neutral, standard, costandard, distributive, codistributive, modular, lower-modular and upper-modular elements) in the lattice EPI of all epigroup varieties. Neutral, standard, costandard, distributiv
Externí odkaz:
http://arxiv.org/abs/1408.0356
Autor:
Shaprynskii, V. Yu.
We describe overcommutative varieties of semigroups whose lattice of overcommutative subvarieties satisfies a non-trivial identity or quasiidentity. These two properties turn out to be equivalent.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/1112.1609
Autor:
Shaprynskii, V. Yu.
The paper contains three main results. First, we show that if a commutative semigroup variety is a modular element of the lattice Com of all commutative semigroup varieties then it is either the variety COM of all commutative semigroups or a nil-vari
Externí odkaz:
http://arxiv.org/abs/1009.1929
Autor:
Shaprynskii, V. Yu., Vernikov, B. M.
We completely determine all lower-modular elements of the lattice of all semigroup varieties. As a corollary, we show that a lower-modular element of this lattice is modular.
Comment: 10 pages, 1 figure
Comment: 10 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1002.4597
Autor:
Shaprynskii, V. Yu., Vernikov, B. M.
We completely determine all distributive, codistributive, standard, costandard, and neutral elements in the lattice of overcommutative semigroup varieties, thus correcting a gap contained in an earlier article by the second author.
Comment: 16 p
Comment: 16 p
Externí odkaz:
http://arxiv.org/abs/0909.4388
Akademický článek
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Autor:
Vernikov, B. M.1 Boris.Vernikov@usu.ru, Shaprynskii, V. Yu.1 vshapr@yandex.ru
Publikováno v:
Algebra & Logic. Jul2010, Vol. 49 Issue 3, p201-220. 20p. 1 Diagram.
