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Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/102003
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dc.contributor.authorGusev, S. V.en
dc.date.accessioned2021-08-31T15:01:12Z-
dc.date.available2021-08-31T15:01:12Z-
dc.date.issued2018-
dc.identifier.citationGusev 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.en
dc.identifier.issn25240-
dc.identifier.otherFinal2
dc.identifier.otherAll Open Access, Green3
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85045960586&doi=10.1007%2fs00012-018-0513-0&partnerID=40&md5=ea967f431a9d056f75a5720c86d61ae1
dc.identifier.otherhttp://arxiv.org/pdf/1709.08869m
dc.identifier.urihttp://elar.urfu.ru/handle/10995/102003-
dc.description.abstractWe 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.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherBirkhauser Verlag AGen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceAlgebra Univers.2
dc.sourceAlgebra Universalisen
dc.subjectCODISTRIBUTIVE ELEMENT OF A LATTICEen
dc.subjectCOSTANDARD ELEMENT OF A LATTICEen
dc.subjectLATTICE OF VARIETIESen
dc.subjectMONOIDen
dc.subjectNEUTRAL ELEMENT OF A LATTICEen
dc.subjectUPPER-MODULAR ELEMENT OF A LATTICEen
dc.subjectVARIETYen
dc.titleSpecial elements of the lattice of monoid varietiesen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.rsi35541661-
dc.identifier.doi10.1007/s00012-018-0513-0-
dc.identifier.scopus85045960586-
local.contributor.employeeGusev, S.V., Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina str. 51, Ekaterinburg, 620000, Russian Federation
local.issue2-
local.volume79-
dc.identifier.wos000431737200019-
local.contributor.departmentInstitute of Natural Sciences and Mathematics, Ural Federal University, Lenina str. 51, Ekaterinburg, 620000, Russian Federation
local.identifier.pure1673c531-26da-4c21-9fdf-6a017dffece2uuid
local.identifier.pure7144345-
local.description.order29-
local.identifier.eid2-s2.0-85045960586-
local.identifier.wosWOS:000431737200019-
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