HOMOMORPHISM AND ISOMORPHISM THEOREMS OF SEMI MODULES OVER A BOOLEAN LIKE SEMI RING
Research Journal of Pure Algebra
In this paper, the concepts semi module homomorphism and isomorphism over a Boolean like semi ring R areintroducedand also study some of its properties. Further fundamental theorem of homomorphism of semi modules and also isomorphism theorems are proved.. Mathematics Subject Classification: 16Y30, 16 Y 60. Key Words: Boolean like semi ring, Quotient Boolean like semi ring, Semi module, Quotient semi Module andsemi module homomorphism and isomorphism. INTRODUCTION The concept of Semi Modules
... a Boolean like Semi Ringis due to Murthy B.V.N . This paper is further study on semi module over a Boolean like semi ring has been made.The present author has introduced the concept of semi module homomorphism and isomorphism over a Boolean like semi ring and obtain isomorphism theorems. The present paper is divided into2 sections. In section 1, the preliminary concepts and results regarding of Semi Modules over a Boolean like Semi Ring, are given. In section 2, obtain the formal properties of semi module homomorphism such as the homomorphic image of a semi module is semi module and further Ker of homomorphism is defined and obtain it is an R-ideal .Also obtain the fundamental theorem ofsemi module homomorphism and isomorphism theorems for semi modules.