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

作者：Sezer Aslihan Sezgin^*

来源：Knowledge-Based Systems, 2012, 36: 300-314.

DOI：10.1016/j.knosys.2012.04.031

• Soft set
• Soft intersection-union product
• Soft union left (right, two-sided) ideal
• Soft union bi-ideal
• Regular rings

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.

• 出版日期2012-12