Soft Congruence Relations over Rings
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty.
In this paper, we initiate the study of soft congruence relations by using the soft set theory.
The notions of soft quotient rings, generalized soft ideals and generalized soft quotient rings, are introduced, and several related properties are investigated.
Also, we obtain a one-to-one correspondence between soft congruence relations and idealistic soft rings and a one-to-one correspondence between soft congruence relations and soft ideals.
In particular, the first, second, and third soft isomorphism theorems are established, respectively.
American Psychological Association (APA)
Xin, Xiao Long& Li, Wenting. 2014. Soft Congruence Relations over Rings. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1050059
Modern Language Association (MLA)
Xin, Xiao Long& Li, Wenting. Soft Congruence Relations over Rings. The Scientific World Journal No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1050059
American Medical Association (AMA)
Xin, Xiao Long& Li, Wenting. Soft Congruence Relations over Rings. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1050059
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050059