Pure submodules of BCK-modules

Document Type : Research Paper

Authors

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

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

Abstract

In this paper by considering the notion of BCK-module, we introduce pure BCK- submodules and we prove some results by it. In particular, we show that if X is a BCK- algebra, M is a cyclic BCK-module and N a prime BCK- submodule of M, then N is a pure BCK-submodule of M.

Keywords

References

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Journal of Hyperstructures
Volume 3, Issue 1
June 2014
Pages 10-17

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