id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-2231	Khan, Waqar; Yousafzai, Faisal; Khan, Madad	On (m,n)-ideals of Left Almost Semigroups	2016	15	.pdf	application/pdf	6372	361	89	Note that a0 is defined as an operator element such that a0 y = y and za0 = z for any y, z ∈ S. 3. 0-Minimal (0, 2)-Bi-Ideals in Unitary LA -Semigroups If S is a unitary LA -semigroup, then it is easy to see that S2 = S, SA2 = A2S and A⊆ SA ∀A ⊆ S. Note that every right ideal of a unitary LA -semigroup S is a left ideal of S but the converse is not true in general. Here Am or An are suppressed if m= 0 or n= 0, that is A0S = S or SA0 = S. Note that if m= n= 1, then an (m, n)-ideal A of an LA -semigroup S is called a bi-ideal of S. If we take m = 0 or n = 0, then an (m, n)-ideal A of an LA -semigroup S becomes a left or a right ideal of S. An (m, n)-ideal A of an LA -semigroup S with zero is said to be 0-minimal if A 6= {0} and {0} is the only (m, n)-ideal of S properly contained in A. An LA -semigroup S with zero is said to be 0-(0,2)-bisimple if S2 6= {0} and {0} is the only proper (0,2)-bi-ideal of S. An LA -semigroup S with zero is said to be nilpotent if S l = {0} for some positive integer l. Let m, n be non-negative integers and S be an LA -semigroup.	cache/ejpam-2231.pdf	txt/ejpam-2231.txt