Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102003
Title: Special elements of the lattice of monoid varieties
Authors: Gusev, S. V.
Issue Date: 2018
Publisher: Birkhauser Verlag AG
Citation: Gusev S. V. Special elements of the lattice of monoid varieties / S. V. Gusev. — DOI 10.1007/s00012-018-0513-0 // Algebra Universalis. — 2018. — Vol. 79. — Iss. 2. — 29.
Abstract: We completely classify all neutral and costandard elements in the lattice MON of all monoid varieties. Further, we prove that an arbitrary upper-modular element of MON except the variety of all monoids is either a completely regular or a commutative variety. Finally, we verify that all commutative varieties of monoids are codistributive elements of MON. Thus, the problems of describing codistributive or upper-modular elements of MON are completely reduced to the completely regular case. © 2018, Springer International Publishing AG, part of Springer Nature.
Keywords: CODISTRIBUTIVE ELEMENT OF A LATTICE
COSTANDARD ELEMENT OF A LATTICE
LATTICE OF VARIETIES
MONOID
NEUTRAL ELEMENT OF A LATTICE
UPPER-MODULAR ELEMENT OF A LATTICE
VARIETY
URI: http://hdl.handle.net/10995/102003
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85045960586
PURE ID: 7144345
1673c531-26da-4c21-9fdf-6a017dffece2
ISSN: 25240
DOI: 10.1007/s00012-018-0513-0
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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