A topology on BCK-modules via prime sub-BCK-modules

Document Type : Research Paper

Authors

1 Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran

2 Department of Mathematics, Sciences and Research University, Kerman Branch, Kerman, Iran

Abstract

In this paper, by considering the notion of prime BCKsub-modules of BCK-modules, we introduce a topology on prime BCK-sub-modules of BCK-modules. Moreover, the notion of top BCK-modules, semi-prime sub -BCK-modules and extraordinary sub- BCK-modules are introduced. Finally the relationships between them are studied.

Keywords