GREEN'S RELATIONS AND MINIMAL STRONG QUASI k-SUBSEMIMODULES IN IDEMPOTENT BI-SEMIMODULES OF A MORITA CONTEXT OF SEMIRINGS

摘要

The notions of Green's relations in bi-semimodules of a Morita context of semirings have been introduced using k-subsemimodules and some characterizations of these relations have been obtained. Also nature of Green's relations have been studied in the semimodules of a Morita context of semirings in which k-idempotents commute. Strong quasi k-subsemimodules of these bi-semimodules have been introduced, characterized and finally, it has been deduced that strong quasi k-subsemimodule is minimal if and only if it is an H class.