Paper Title
On Generalization Of Commutative Semigroup Rings

Abstract
Left almost semigroups (LA-semigroups) or Abel-Grassmann's groupoids (AG-groupoids) have been studied by several authors and this motivated to extend these concepts to Left Almost ring (LA-ring), which carries attraction due to its structural formation. In this paper we generalize the structure of commutative semigroup ring (ring of semigroup over ring represented as to a non-associative LA-ring of LA-semigroup over LA-ring represented as consisting of finitely nonzero functions. Nevertheless it also possesses associative ring structures. Furthermore we also discuss the LA-ring homomorphisms. KeyWords- La-Ring, La-Group, La-Semigroup And Commutative Semigroup Ring. 2000 Msc: 20m10, 20n99, 16y99.