On TNC-Rings
Joint Authors
Nayif, Fida A.
Ibrahim, Zubaydah M.
Source
African Journal of Advanced Pure and Applied Sciences
Issue
Vol. 2, Issue 2 (30 Apr. 2023), pp.126-130, 5 p.
Publisher
African Academy of Advanced Studies
Publication Date
2023-04-30
Country of Publication
Libya
No. of Pages
5
Main Subjects
Abstract EN
This paper is a continuation of study rings relative to clean ring, where we study the concepts of 2-nil clean rings TN-Clear Ring (TNC-ring) of a noncommutative ring, which introduced by Chen and Sheibani.
these rings of ours naturally generalize the nil -clean rings.
we show that, if ??? is TNC - element, then ?(?−?)(?−?) is nilpotent and ?=?+?, where ?∈? and ?∈?(?), such that; ?(?−?)(?−?)=?, when every two pair of idempotent elements are orthogonal, and we determine condition under which the TNC-ring is strongly ?-Regular and we show that, if ? is commutative local ring and ? is maximal ideal.
then ? is TNC-ring if ?/?≅??.
American Psychological Association (APA)
Ibrahim, Zubaydah M.& Nayif, Fida A.. 2023. On TNC-Rings. African Journal of Advanced Pure and Applied Sciences،Vol. 2, no. 2, pp.126-130.
https://search.emarefa.net/detail/BIM-1506787
Modern Language Association (MLA)
Ibrahim, Zubaydah M.& Nayif, Fida A.. On TNC-Rings. African Journal of Advanced Pure and Applied Sciences Vol. 2, no. 2 (Apr. / Jun. 2023), pp.126-130.
https://search.emarefa.net/detail/BIM-1506787
American Medical Association (AMA)
Ibrahim, Zubaydah M.& Nayif, Fida A.. On TNC-Rings. African Journal of Advanced Pure and Applied Sciences. 2023. Vol. 2, no. 2, pp.126-130.
https://search.emarefa.net/detail/BIM-1506787
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 130
Record ID
BIM-1506787