Soft prime and semiprime int-ideals of a ring

被引：4
|
作者：
Ghosh, Jayanta [1 ]
Mandal, Dhananjoy [1 ]
Samanta, Tapas Kumar [2 ]
机构：
[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, India
[2] Uluberia Coll, Dept Math, Howrah 711315, W Bengal, India
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 01期
关键词：
Soft int-ideal; Soft prime int-ideal; Soft semiprime int-ideal; Soft radical; SETS;
D O I：
10.3934/math.2020050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some properties of soft radical of a soft int-ideal have been developed and soft prime int-ideal, soft semiprime int-ideal of a ring are defined. Several characterizations of soft prime (soft semiprime) int-ideals are investigated. Also it is shown that the direct and inverse images of soft prime (soft semiprime) int-ideals under homomorphism remains invariant.
引用
收藏
页码：732 / 745
页数：14
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