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Algebra and Discrete Mathematics, 2017, том 24, выпуск 2, страницы 274–296
(Mi adm633)
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RESEARCH ARTICLE
Lattice rings: an interpretation of $L$-fuzzy rings as habitual algebraic structures
Leonid A. Kurdachenkoa, Igor Ya. Subbotinb, Viktoriia S. Yashchuka a Department of Algebra, Oles Honchar Dnipro National University, 72 Gagarin Av., Dnipro 49010, Ukraine
b Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, LA, CA 90045, USA
Аннотация:
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.
Ключевые слова:
ring, lattice, distributive lattice, fuzzy ring, homomorphism.
Поступила в редакцию: 14.11.2016
Образец цитирования:
Leonid A. Kurdachenko, Igor Ya. Subbotin, Viktoriia S. Yashchuk, “Lattice rings: an interpretation of $L$-fuzzy rings as habitual algebraic structures”, Algebra Discrete Math., 24:2 (2017), 274–296
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm633 https://www.mathnet.ru/rus/adm/v24/i2/p274
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Страница аннотации: | 144 | PDF полного текста: | 72 | Список литературы: | 24 |
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