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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 7, Pages 67–79 (Mi ivm7699)  
This article is cited in 7 scientific papers (total in 7 papers)

Distributive and neutral elements of the lattice of commutative semigroup varieties

V. Yu. Shaprynskii

Chair of Algebra and Discrete Mathematics, Ural State University, Ekaterinburg, Russia
Full-text PDF (237 kB) Citations (7)
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Abstract: We completely determine commutative semigroup varieties that are distributive, standard or neutral elements of the lattice of all commutative semigroup varieties. In particular, it turns out that the properties of being a distributive element and of being a standard element in this lattice are equivalent.
Keywords: semigroup, variety, lattice, distributive element, neutral element, standard element.
Received: 01.03.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 7, Pages 56–67
DOI: https://doi.org/10.3103/S1066369X11070085
Bibliographic databases:
Document Type: Article
UDC: 512.532
Language: Russian
Citation: V. Yu. Shaprynskii, “Distributive and neutral elements of the lattice of commutative semigroup varieties”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 7, 67–79; Russian Math. (Iz. VUZ), 55:7 (2011), 56–67
Citation in format AMSBIB
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\by V.~Yu.~Shaprynskii
\paper Distributive and neutral elements of the lattice of commutative semigroup varieties
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 7
\pages 67--79
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 7
\pages 56--67
\crossref{https://doi.org/10.3103/S1066369X11070085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051680813}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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