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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 9, Pages 59–67 (Mi ivm9397)  
This article is cited in 1 scientific paper (total in 1 paper)

Cancellable elements of the lattice of epigroup varieties

D. V. Skokov

Ural Federal University, 51 Lenin Ave., Ekaterinburg, 620000 Russia
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Abstract: We completely determine all commutative epigroup varieties that are cancellable elements of the lattice EPI of all epigroup varieties. In particular, we verify that a commutative epigroup variety is a cancellable element of the lattice EPI if and only if it is a modular element of this lattice.
Keywords: epigroup, variety, cancellable element of a lattice, modular element of a lattice.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00551_а
Ministry of Education and Science of the Russian Federation 1.6018.2017/8.9
Received: 07.08.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 9, Pages 52–59
DOI: https://doi.org/10.3103/S1066369X18090062
Bibliographic databases:
Document Type: Article
UDC: 512.532
Language: Russian
Citation: D. V. Skokov, “Cancellable elements of the lattice of epigroup varieties”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 9, 59–67; Russian Math. (Iz. VUZ), 62:9 (2018), 52–59
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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