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
收藏
页码：366 / 392
页数：27
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