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http://dx.doi.org/10.11568/kjm.2018.26.1.143

ON 0-MINIMAL (m, n)-IDEAL IN AN LA-SEMIGROUP  

Gaketem, Thiti (Department of Mathematics School of Science, University of Phayao)
Publication Information
Korean Journal of Mathematics / v.26, no.1, 2018 , pp. 143-153 More about this Journal
Abstract
In this paper, we define 0-minimal (m, n)-ideals in an LA-semigroup ${\mathcal{S}}$ 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 $m,n{\geq}3$.
Keywords
LA-semigroup; ideal; 0-minimal (m, n)-ideal; (m, n)-regular;
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