TRANSITIVITY OF  -RELATION ON HYPERMODULES

Document Type : Regular Paper

Authors

1 1Department of Mathematics, Yazd University, Yazd, I. R. of Iran

2 Department of Mathematics, Payame-Noor University, Yazd, I. R. of Iran

3 Department of Mathematics, Yazd University, Yazd, I. R. of Iran

Abstract

¡V In this paper we consider a strongly regular relation ƒá on hypermodules so that the quotient is a
module (with abelian group) over a fundamental commutative ring. Also, we state necessary and sufficient
conditions so that the relation ć is transitive, and finally we prove that ć is transitive on hypermodules.

Keywords