Ring endomorphisms with nil-shifting property.
In: Journal of Linear & Topological Algebra, Jg. 8 (2019-07-01), Heft 3, S. 191-202
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Zugriff:
Cohn called a ring R is reversible if whenever ab = 0; then ba = 0 for a; b ∈ R: The reversible property is an important role in noncommutative ring theory. Recently, Abdul-Jabbar et al. studied the reversible ring property on nilpotent elements, introducing the concept of commutativity of nilpotent elements at zero (simply, a CNZ ring). In this paper, we extend the CNZ property of a ring as follows: Let R be a ring and α an endomorphism of R, we say that R is right (resp., left) α-nil-shifting ring if whenever aα(b) = 0 (resp., α(a)b = 0) for nilpotents a; b in R, bα(a) = 0 (resp., a(b)a = 0). The characterization of α-nil-shifting rings and their related properties are investigated. [ABSTRACT FROM AUTHOR]
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Ring endomorphisms with nil-shifting property.
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Autor/in / Beteiligte Person: | Ahmed, C. A. K. ; Salim, R. T. M. |
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Zeitschrift: | Journal of Linear & Topological Algebra, Jg. 8 (2019-07-01), Heft 3, S. 191-202 |
Veröffentlichung: | 2019 |
Medientyp: | academicJournal |
ISSN: | 2252-0201 (print) |
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