Zero commutativity of nilpotent elements skewed by ring endomorphisms.
In: Communications in Algebra, Jg. 45 (2017-11-01), Heft 11, S. 4881-4895
academicJournal
Zugriff:
The reversible property is an important role in noncommutative ring theory. Recently, the study of the reversible ring property on nilpotent elements is established by Abdul-Jabbar et al., introducing the concept of commutativity of nilpotent elements at zero (simply, a CNZ ring) as a generalization of reversible rings. We here study this property skewed by a ring endomorphism α, and such ring is called a right α-skew CNZ ring which is an extension of CNZ rings as well as a generalization of right α-skew reversible rings, and then investigate the structure of right α-skew CNZ rings and their related properties. Consequently, several known results are obtained as corollaries of our results. [ABSTRACT FROM AUTHOR]
Titel: |
Zero commutativity of nilpotent elements skewed by ring endomorphisms.
|
---|---|
Autor/in / Beteiligte Person: | Abdul-Jabbar, Abdullah M. ; Ahmed, Chenar Abdul Kareem ; Kwak, Tai Keun ; Lee, Yang ; Seo, Young Joo |
Zeitschrift: | Communications in Algebra, Jg. 45 (2017-11-01), Heft 11, S. 4881-4895 |
Veröffentlichung: | 2017 |
Medientyp: | academicJournal |
ISSN: | 0092-7872 (print) |
DOI: | 10.1080/00927872.2017.1287267 |
Schlagwort: |
|
Sonstiges: |
|