A new view to ring theory via soft union rings, ideals and bi-ideals

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摘要

In this paper, by defining soft intersection–union product, we make a new approach to the classical ring theory via soft set theory, with the concept of soft union rings, ideals and bi-ideals. Moreover, we characterize regular, regular duo, intra-regular and strongly regular rings by soft union rings and ideals.

论文关键词：Soft set,Soft intersection–union product,Soft union left (right, two-sided) ideal,Soft union bi-ideal,Regular rings

论文评审过程：Received 25 October 2011, Revised 6 April 2012, Accepted 29 April 2012, Available online 15 May 2012.

论文官网地址：https://doi.org/10.1016/j.knosys.2012.04.031