Title of article :
varieties of permutative semigroups closed under dominions
Author/Authors :
maqbool, humaira islamic university of science and technology - department of mathematical sciences, pulwama, india , bhat, mohammad islamic university of science and technology - department of mathematical sciences, pulwama, india
Abstract :
in this paper, we partially generalize a result of isbell from the class of commu- tative semigroups to some generalized class of commutative semigroups by showing that dominion of such semigroups belongs to the same class by using isbell’s zigzag theorem. we found some permutative semigroups for which dominion satisfies the identity of subsemigroup of a semigroup s.
Keywords :
zigzag equations , dominion , varieties , and identity
Journal title :
Journal of Algebraic Systems
Journal title :
Journal of Algebraic Systems