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- W2499929955 abstract "In this paper, we study (m,n)-ideals of an LA-semigroup in detail. We charactrize (0,2)-ideals of an LA-semigroup S and prove that A is a (0,2)-ideal of S if and only if A is a left ideal of some left ideal of S. We also show that an LA-semigroup S is 0-(0,2)-bisimple if and only if S is right 0-simple. Furthermore we study 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^{m}Lⁿ={0} or R^{m}Lⁿ is a 0-minimal (m,n)-ideal of S for m,n≥3. Finally we discuss (m,n)-ideals in an (m,n)-regular LA-semigroup S and show that S is (0,1)-regular if and only if L=SL where L is a (0,1)-ideal of S." @default.
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- W2499929955 date "2016-07-02" @default.
- W2499929955 modified "2023-09-27" @default.
- W2499929955 title "On (m,n)-ideals of Left Almost Semigroups" @default.
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