Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102178
Title: Upper-modular and related elements of the lattice of commutative semigroup varieties
Authors: Vernikov, B. M.
Issue Date: 2017
Publisher: Springer New York LLC
Citation: Vernikov B. M. Upper-modular and related elements of the lattice of commutative semigroup varieties / B. M. Vernikov. — DOI 10.1007/s00233-016-9843-4 // Semigroup Forum. — 2017. — Vol. 94. — Iss. 3. — P. 696-711.
Abstract: We completely determine upper-modular, codistributive and costandard elements in the lattice of all commutative semigroup varieties. In particular, we prove that the properties of being upper-modular and codistributive elements in the mentioned lattice are equivalent. Moreover, in the nil-case the properties of being elements of all three types turn out to be equivalent. © 2016, Springer Science+Business Media New York.
Keywords: CODISTRIBUTIVE ELEMENT
COSTANDARD ELEMENT
LATTICE OF VARIETIES
SEMIGROUP
UPPER-MODULAR ELEMENT
VARIETY
URI: http://hdl.handle.net/10995/102178
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85001785512
PURE ID: 1809003
ISSN: 371912
DOI: 10.1007/s00233-016-9843-4
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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