Characterizing a semigroup by its fuzzy interior antiideals and fuzzy m-interior antiideals

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F26%3A00564363" target="_blank" >RIV/60162694:G43__/26:00564363 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13370-025-01287-9" target="_blank" >https://doi.org/10.1007/s13370-025-01287-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13370-025-01287-9" target="_blank" >10.1007/s13370-025-01287-9</a>

Result language
angličtina
Original language name
Characterizing a semigroup by its fuzzy interior antiideals and fuzzy m-interior antiideals
Original language description
Fuzzy sets serve as an extension of traditional sets, capable of handling imprecise information. On the other hand, semigroups represent a broader category than groups, finding utility across various interdisciplinary domains. Diverse subsets of semigroups have been investigated to enhance comprehension of their practical applications. Given the significance of both these ideas, exploring fuzzy subsets within semigroups carries substantial importance. In this paper, we characterize a semigroup through one of its (fuzzy) subsets; (fuzzy) interior antiideals. More precisely, we define interior antiideals and m-interior antiideals of a semigroup, illustrate them by examples, and study their properties. Furthermore, we extend this notion into a fuzzy context, examining the characteristics of fuzzy interior antiideals and fuzzy m-interior antiideals of a semigroup.
Czech name
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Czech description
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Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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