On nil – semi clean rings
Joint Authors
Ahmad, Muhammad Khayr
al-Mallah, Umar
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 2, Issue 2 (31 Dec. 2009), pp.95-103, 9 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2009-12-31
Country of Publication
Jordan
No. of Pages
9
Main Subjects
Topics
Abstract EN
In this paper, the notions of semi-idempotent elements and nil-semi clean elements are introduced.
We show that, if a ring R is a nil-semi clean ring, then the Jacobson radical, J(R), of R is nil.
We also characterize some properties related to orthogonal idempotent elements e and f in a ring R.
We prove that if R is a nil-semi clean ring and the idempotent elements of Rare Central, then the Jacobson radical J(R) of R equals the set of all nilpotent elements of R.
Finally, we show that if R is a commutative ring, then the polynomial ring R[x] is not nil-semi clean ring.
American Psychological Association (APA)
Ahmad, Muhammad Khayr& al-Mallah, Umar. 2009. On nil – semi clean rings. Jordan Journal of Mathematics and Statistics،Vol. 2, no. 2, pp.95-103.
https://search.emarefa.net/detail/BIM-272697
Modern Language Association (MLA)
Ahmad, Muhammad Khayr& al-Mallah, Umar. On nil – semi clean rings. Jordan Journal of Mathematics and Statistics Vol. 2, no. 2 (Dec. 2009), pp.95-103.
https://search.emarefa.net/detail/BIM-272697
American Medical Association (AMA)
Ahmad, Muhammad Khayr& al-Mallah, Umar. On nil – semi clean rings. Jordan Journal of Mathematics and Statistics. 2009. Vol. 2, no. 2, pp.95-103.
https://search.emarefa.net/detail/BIM-272697
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 103
Record ID
BIM-272697