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

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 ring...

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Bibliographic Details
Published in:Knowledge-based systems 2012-12, Vol.36, p.300-314
Main Author: Sezgin Sezer, Aslıhan
Format: Article
Language:English
Subjects:
Knowledge base
Regular rings
Soft intersection–union product
Soft set
Soft union bi-ideal
Soft union left (right, two-sided) ideal
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Summary: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.
ISSN:0950-7051
1872-7409
DOI:10.1016/j.knosys.2012.04.031