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On $0$-minimal $(m, n)$-ideal in an LA-semigroup

Thiti Gaketem
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2018.03|한국수학논문집 (Korean Journal of Mathematics)|제26권 제1호|pp. 143-153

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키워드

ideal$(mLA-semigroup$0$-minimal $(mn)$-idealn)$-regular.
주제분류수학

초록

In this paper, we define $0$-minimal $(m, n)$-ideals in an LA-semigroup $S$ and prove that if $R (L)$ is a 0-minimal right (left) ideal of $S$, then either $R^mL^n = \{0\}$ or $R^mL^n$ is a $0$-minimal $(m, n)$-ideal of $S$ for $m, n \geq 3$.

Abstract

In this paper, we define $0$-minimal $(m, n)$-ideals in an LA-semigroup $S$ and prove that if $R (L)$ is a 0-minimal right (left) ideal of $S$, then either $R^mL^n = \{0\}$ or $R^mL^n$ is a $0$-minimal $(m, n)$-ideal of $S$ for $m, n \geq 3$.

참고문헌 (15)

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