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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Published in:Algebra and Discrete Mathematics
Date:2015
Main Authors: Kurdachenko, L.A., Yashchuk, V.S., Subbotin, I.Y.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2015
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/154748
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Kurdachenko, L.A.
Yashchuk, V.S.
Subbotin, I.Y.
author_facet Kurdachenko, L.A.
Yashchuk, V.S.
Subbotin, I.Y.
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.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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.
first_indexed 2025-12-07T13:21:08Z
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id nasplib_isofts_kiev_ua-123456789-154748
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T13:21:08Z
publishDate 2015
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Kurdachenko, L.A.
Yashchuk, V.S.
Subbotin, I.Y.
2019-06-15T19:52:39Z
2019-06-15T19:52:39Z
2015
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.
https://nasplib.isofts.kiev.ua/handle/123456789/154748
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Lattice groups
Article
published earlier
spellingShingle Lattice groups
Kurdachenko, L.A.
Yashchuk, V.S.
Subbotin, I.Y.
title Lattice groups
title_full Lattice groups
title_fullStr Lattice groups
title_full_unstemmed Lattice groups
title_short Lattice groups
title_sort lattice groups
url https://nasplib.isofts.kiev.ua/handle/123456789/154748
work_keys_str_mv AT kurdachenkola latticegroups
AT yashchukvs latticegroups
AT subbotiniy latticegroups