Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/102276
Title: | Special elements of the lattice of epigroup varieties |
Authors: | Shaprynskiǐ, V. Y. Skokov, D. V. Vernikov, B. M. |
Issue Date: | 2016 |
Publisher: | Birkhauser Verlag AG |
Citation: | Shaprynskiǐ V. Y. Special elements of the lattice of epigroup varieties / V. Y. Shaprynskiǐ, D. V. Skokov, B. M. Vernikov. — DOI 10.1007/s00012-016-0380-5 // Algebra Universalis. — 2016. — Vol. 76. — Iss. 1. — P. 1-30. |
Abstract: | We study special elements of three types (namely, neutral, modular and upper-modular elements) in the lattice of all epigroup varieties. Neutral elements are completely determined (it turns out that only four varieties have this property). We find a strong necessary condition for modular elements that completely reduces the problem of description of corresponding varieties to nilvarieties satisfying identities of some special type. Modular elements are completely classified within the class of commutative varieties, while upper-modular elements are completely determined within the wider class of strongly permutative varieties. © 2016, Springer International Publishing. |
Keywords: | EPIGROUP LATTICE MODULAR ELEMENT NEUTRAL ELEMENT UPPER-MODULAR ELEMENT VARIETY OF EPIGROUPS |
URI: | http://elar.urfu.ru/handle/10995/102276 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 84961118916 |
WOS ID: | 000382003400001 |
PURE ID: | 3aec7fa8-8976-4a3c-ad5c-29694b674bcf 1091925 |
ISSN: | 25240 |
DOI: | 10.1007/s00012-016-0380-5 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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