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Rough prime ideals and rough fuzzy prime ideals in Gamma-semigroups

Ronnason Chinram
대한수학회 (The Korean Mathematical Society)|2009.07|대한수학회논문집 (Communications of the KMS)|제24권 제3호|pp. 341-351

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참고문헌

키워드

prime idealscongruencesΓ-semigroupsquotient Γ-semigroupsΘ-lower rough prime idealsΘ-upper rough prime ideals
주제분류수학

초록

The notion of rough sets was introduced by Z. Pawlak in the year 1982. The notion of a Γ-semigroup was introduced by M. K. Sen in the year 1981. In 2003, Y. B. Jun studied the roughness of subΓ-semigroups, ideals and bi-ideals in Γ-semigroups. In this paper, we study rough prime ideals and rough fuzzy prime ideals in Γ-semigroups.

Abstract

The notion of rough sets was introduced by Z. Pawlak in the year 1982. The notion of a Γ-semigroup was introduced by M. K. Sen in the year 1981. In 2003, Y. B. Jun studied the roughness of subΓ-semigroups, ideals and bi-ideals in Γ-semigroups. In this paper, we study rough prime ideals and rough fuzzy prime ideals in Γ-semigroups.

참고문헌 (20)

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관련 논문AI추천

Coincidences of different types of fuzzy ideals in ordered Gamma-semigroupsAiyared Iampan, Arunothai Kanlaya강원경기수학회 · 한국수학논문집2014 · 제22권 제2호Bi-interior ideals and Fuzzy bi-interior ideals of Γ-semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제1호Roughness of Gamma-subsemigroups/ideals in Gamma-semigroups전영배대한수학회 · 대한수학회보2003 · 제40권 제3호Generalized rough approximations in ordered LA-semigroupsMoin Akhtar Ansari기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제15권 제1호Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제28권 제2호On the Ideal Extensions in Gamma-SemigroupsAiyared Iampan, Manoj Siripitukdet경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호

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