Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Boris M. Vernikov"'
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789813348417
Springer Proc. Math. Stat.
Springer Proceedings in Mathematics and Statistics
Springer Proc. Math. Stat.
Springer Proceedings in Mathematics and Statistics
We completely determine all cancellable elements in the lattice OC of overcommutative semigroup varieties. In particular, we prove that an overcommutative semigroup variety is a cancellable element of the lattice OC if and only if it is a neutral ele
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::984153f02aa273d47021a1a6eee20323
https://doi.org/10.1007/978-981-33-4842-4_14
https://doi.org/10.1007/978-981-33-4842-4_14
Autor:
Boris M. Vernikov, Sergey V. Gusev
Publikováno v:
Semigroup Forum
We completely determine all varieties of monoids on whose free objects all fully invariant congruences or all fully invariant congruences contained in the least semilattice congruence permute. Along the way, we find several new monoid varieties with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17d7dc992ce148f8312cc6a06e27dc8a
We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems are also formulated.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15322e38291990f68e22b4638f49d69a
Autor:
Boris M. Vernikov, D. V. Skokov
Publikováno v:
Siberian Electronic Mathematical Reports
We continue a study of modular and cancellable elements in the lattice SEM of all semigroup varieties. In 2007, the second author completely determined all commutative semigroup varieties that are modular elements in SEM. In 2018 the authors jointly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce4526886eda3cf783e49b4d9e0e840f
https://elar.urfu.ru/handle/10995/90674
https://elar.urfu.ru/handle/10995/90674
Autor:
Sergey V. Gusev, Boris M. Vernikov
Publikováno v:
Semigroup Forum
We examine varieties of epigroups as unary semigroups, that is semigroups equipped with an additional unary operation of pseudoinversion. The article contains two main results. The first of them indicates a countably infinite family of injective endo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7ab62e39d8b92a74fe74ac0d3e09f7c
https://doi.org/10.1007/s00233-016-9825-6
https://doi.org/10.1007/s00233-016-9825-6
Publikováno v:
Order
In 2012, the second author introduced and examined a new type of algebras as a generalization of De Morgan algebras. These algebras are of type (2,0) with one binary and one nullary operation satisfying two certain specific identities. Such algebras
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d0da786e0ebb511ce5e388a327e1b76
http://arxiv.org/abs/1809.03148
http://arxiv.org/abs/1809.03148
Publikováno v:
Commun. Algebra
Communications in Algebra
Communications in Algebra
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37a81166ccd1e812997d070f692d0a6e
Autor:
Boris M. Vernikov
Publikováno v:
Acta Scientiarum Mathematicarum. 81:79-109
We survey results concerning special elements of nine types (modular, lower-modular, upper-modular, cancellable, distributive, codistributive, standard, costandard and neutral elements) in the lattice of all semigroup varieties and certain its sublat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82d61705ddcee49e30b0595cd58cdc07
https://doi.org/10.14232/actasm-013-072-0
https://doi.org/10.14232/actasm-013-072-0
Autor:
Sergey V. Gusev, Boris M. Vernikov
Publikováno v:
Diss. Math.
Dissertationes Mathematicae
Dissertationes Mathematicae
A variety of universal algebras is called a chain variety if its subvariety lattice is a chain. Non-group chain varieties of semigroups were completely classified by Sukhanov in 1982. Here we completely determine non-group chain varieties of monoids
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fea6bca68ce3e7340f1a89c565495ca
Autor:
Boris M. Vernikov
Publikováno v:
Russian Mathematics. 55:9-16
We prove that if a semigroup variety is a codistributive element of the lattice SEM of all semigroup varieties, then it either coincides with the variety of all semigroups or is a variety of semigroups with completely regular square. We completely cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7886773e8172fde44482511d35d2f95
https://doi.org/10.3103/s1066369x11070024
https://doi.org/10.3103/s1066369x11070024