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On Nil-Symmetric Rings
Joint Authors
Chakraborty, Uday Shankar
Das, Krishnendu
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The concept of nil-symmetric rings has been introduced as a generalization of symmetric rings and a particular case of nil-semicommutative rings.
A ring R is called right (left) nil-symmetric if, for a,b,c∈R, where a,b are nilpotent elements, abc=0 (cab=0) implies acb=0.
A ring is called nil-symmetric if it is both right and left nil-symmetric.
It has been shown that the polynomial ring over a nil-symmetric ring may not be a right or a left nil-symmetric ring.
Further, it is also proved that if R is right (left) nil-symmetric, then the polynomial ring R[x] is a nil-Armendariz ring.
American Psychological Association (APA)
Chakraborty, Uday Shankar& Das, Krishnendu. 2014. On Nil-Symmetric Rings. Journal of Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1041077
Modern Language Association (MLA)
Chakraborty, Uday Shankar& Das, Krishnendu. On Nil-Symmetric Rings. Journal of Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1041077
American Medical Association (AMA)
Chakraborty, Uday Shankar& Das, Krishnendu. On Nil-Symmetric Rings. Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1041077
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1041077