Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures
In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and \(L\)-fuzzy rings where \(L\) is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of curr...
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/343 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-3432018-04-26T02:43:18Z Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures Kurdachenko, Leonid A. Subbotin, Igor Ya. Yashchuk, Victoria S. ring, lattice, distributive lattice, fuzzy ring, homomorphism 20M10, 06D99, 16W99 In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and \(L\)-fuzzy rings where \(L\) is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions. Lugansk National Taras Shevchenko University 2018-01-24 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/343 Algebra and Discrete Mathematics; Vol 24, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/343/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/343/145 Copyright (c) 2016 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-26T02:43:18Z |
| collection |
OJS |
| language |
English |
| topic |
ring lattice distributive lattice fuzzy ring homomorphism 20M10 06D99 16W99 |
| spellingShingle |
ring lattice distributive lattice fuzzy ring homomorphism 20M10 06D99 16W99 Kurdachenko, Leonid A. Subbotin, Igor Ya. Yashchuk, Victoria S. Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures |
| topic_facet |
ring lattice distributive lattice fuzzy ring homomorphism 20M10 06D99 16W99 |
| format |
Article |
| author |
Kurdachenko, Leonid A. Subbotin, Igor Ya. Yashchuk, Victoria S. |
| author_facet |
Kurdachenko, Leonid A. Subbotin, Igor Ya. Yashchuk, Victoria S. |
| author_sort |
Kurdachenko, Leonid A. |
| title |
Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures |
| title_short |
Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures |
| title_full |
Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures |
| title_fullStr |
Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures |
| title_full_unstemmed |
Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures |
| title_sort |
lattice rings: an interpretation of \(l\)-fuzzy rings as habitual algebraic structures |
| description |
In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and \(L\)-fuzzy rings where \(L\) is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/343 |
| work_keys_str_mv |
AT kurdachenkoleonida latticeringsaninterpretationoflfuzzyringsashabitualalgebraicstructures AT subbotinigorya latticeringsaninterpretationoflfuzzyringsashabitualalgebraicstructures AT yashchukvictorias latticeringsaninterpretationoflfuzzyringsashabitualalgebraicstructures |
| first_indexed |
2025-07-17T10:36:23Z |
| last_indexed |
2025-07-17T10:36:23Z |
| _version_ |
1837890098704678912 |