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

Authors:
AslıHan Sezgin Sezer
Affiliations:
Department of Mathematics, Amasya University, 05100 Amasya, Turkey
Venue:
Knowledge-Based Systems
Year:
2012

Citing 18
Cited 2

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Abstract

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.