Applications of Fuzzy Sets on Essential Ideals of n-Ary Semigroups with Zero
Main Article Content
Abstract
An n-ary semigroup is an algebraic system that consists of a non-empty set and an associative n-ary operation. In this paper, we introduce the concepts of essential ideals and essential fuzzy ideals of n-ary semigroups. Furthermore, we investigate certain relationships between essential ideals and essential fuzzy almost ideals in n-ary semigroups.
Article Details
References
- S. Baupradist, B. Chemat, K. Palanivel, R. Chinram, Essential Ideals and Essential Fuzzy Ideals in Semigroups, J. Discret. Math. Sci. Cryptogr. 24 (2020), 223–233. https://doi.org/10.1080/09720529.2020.1816643.
- R. Chinram, T. Gaketem, Essential (m, n)-Ideal and Essential Fuzzy (m, n)-Ideals in Semigroups, ICIC Express Lett. 15 (2021), 1037–1044. https://doi.org/10.24507/icicel.15.10.1037.
- T. Gaketem, A. Iampan, On Essential Bi-Ideals and Essential Fuzzy Bi-Ideals in Semigroups, Int. J. Appl. Math. 36 (2023), 483–496. https://doi.org/10.12732/ijam.v36i4.4.
- R. Kasner, An Extension of the Group Concepts, Bull. Am. Math. Soc. 10 (1904), 290–291.
- N. Panpetch, T. Muangngao, T. Gaketem, Some Essential Bi-Ideals and Essential Fuzzy Bi-Ideals in a Semigroup, J. Math. Comput. Sci. 28 (2022), 326–334. https://doi.org/10.22436/jmcs.028.04.02.
- R. Rittichuai, A. Iampan, R. Chinram, P. Singavananda, Essential Ideals and Their Fuzzifications of Ternary Semigroups, ICIC Express Lett. 17 (2023), 191–199. http://doi.org/10.24507/icicel.17.02.191.
- L. A. Zadeh, L. Zadeh, Fuzzy Sets, Inf. Control. 8 (1965), 338–353. https://doi.org/10.1016/s0019-9958(65)90241-x.