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Algebra and Discrete Mathematics, 2015, Volume 20, Issue 1, Pages 126–141
(Mi adm535)
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This article is cited in 1 scientific paper (total in 1 paper)
RESEARCH ARTICLE
Lattice groups
L. A. Kurdachenkoa, V. S. Yashchuka, I. Ya. Subbotinb a Department of Algebra, Oles Honchar Dnipropetrovsk National University
b Department of Mathematics and Natural Sciences, National University
Abstract:
In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and $L$-fuzzy groups where $L$ is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions.
Keywords:
group, lattice, distributive lattice, fuzzy group, semigroup.
Received: 02.04.2015 Revised: 02.04.2015
Citation:
L. A. Kurdachenko, V. S. Yashchuk, I. Ya. Subbotin, “Lattice groups”, Algebra Discrete Math., 20:1 (2015), 126–141
Linking options:
https://www.mathnet.ru/eng/adm535 https://www.mathnet.ru/eng/adm/v20/i1/p126
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Abstract page: | 224 | Full-text PDF : | 67 | References: | 55 |
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