A completely new view to soft intersection rings via soft uni-int product

被引：6

作者：

Sezgin, Aslihan ^{[1
]}

Cagman, Naim ^{[2
]}

Atagun, Akin Osman ^{[3
]}

机构：

[1] Amasya Univ, Dept Elementary Educ, TR-05100 Amasya, Turkey

[2] Gaziosmanpasa Univ, Dept Math, TR-60250 Tokat, Turkey

[3] Bozok Univ, Dept Math, TR-66100 Yozgat, Turkey

来源：

APPLIED SOFT COMPUTING | 2017年 / 54卷

关键词：

Soft set; Soft union-intersection product; Soft intersection left (right two-sided) ideal; Soft intersection (generalized) bi-ideal; Soft intersection interior ideal; Soft intersection quasi ideal; Regular rings; DECISION-MAKING; SET-THEORY; BCK/BCI-ALGEBRAS; FUZZY-SETS;

D O I：

10.1016/j.asoc.2016.10.004

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we make a completely new approach to the classical ring theory via soft set theory, with the concept of soft intersection rings, ideals, (generalized) bi-ideals, interior ideals and quasi-ideals. Particularly, we define soft union-intersection product and obtain the relationship between this new concept and soft intersection ring and its different ideals. Moreover, we characterize regular, regular duo, intra-regular and strongly regular rings by soft intersection rings and ideals. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：366 / 392

页数：27

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