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Lattice groups

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 algebra...

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Main Authors: Kurdachenko, L.A., Yashchuk, V.S., Subbotin, I.Y.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2015
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154748
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spelling irk-123456789-1547482019-06-16T01:32:36Z Lattice groups Kurdachenko, L.A. Yashchuk, V.S. Subbotin, I.Y. 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. 2015 Article Lattice groups / L.A. Kurdachenko, V.S. Yashchuk, I.Y. Subbotin // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 126-141. — Бібліогр.: 6 назв. — англ. 1726-3255 2010 MSC:20M10, 06D99, 20M99. http://dspace.nbuv.gov.ua/handle/123456789/154748 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Kurdachenko, L.A.
Yashchuk, V.S.
Subbotin, I.Y.
spellingShingle Kurdachenko, L.A.
Yashchuk, V.S.
Subbotin, I.Y.
Lattice groups
Algebra and Discrete Mathematics
author_facet Kurdachenko, L.A.
Yashchuk, V.S.
Subbotin, I.Y.
author_sort Kurdachenko, L.A.
title Lattice groups
title_short Lattice groups
title_full Lattice groups
title_fullStr Lattice groups
title_full_unstemmed Lattice groups
title_sort lattice groups
publisher Інститут прикладної математики і механіки НАН України
publishDate 2015
url http://dspace.nbuv.gov.ua/handle/123456789/154748
citation_txt Lattice groups / L.A. Kurdachenko, V.S. Yashchuk, I.Y. Subbotin // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 126-141. — Бібліогр.: 6 назв. — англ.
series Algebra and Discrete Mathematics
work_keys_str_mv AT kurdachenkola latticegroups
AT yashchukvs latticegroups
AT subbotiniy latticegroups
first_indexed 2023-05-20T17:45:17Z
last_indexed 2023-05-20T17:45:17Z
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