| Autor: |
Barati, Ruhollah, Mousavi, Ahmad, Abyzov, Adel |
| Předmět: |
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| Zdroj: |
Communications in Algebra; 2022, Vol. 50 Issue 10, p4437-4459, 23p |
| Abstrakt: |
For a fixed natural number m ≥ 2 , an element a of a ring R is m-nil clean if a = e + b where e m = e ∈ R and b is nilpotent; if further eb = be, a is called strongly m-nil clean. The ring R is called m-nil clean (resp., strongly m-nil clean) if each of its elements is m-nil clean (resp., strongly m-nil clean). For a fixed natural number m ≥ 2 , the strongly m-nil clean rings are a big subclass of the periodic rings which contains the class of strongly nil clean rings. The strongly m-nil cleanness of the tensor product of algebras, matrix rings, Morita contexts, and group rings is discussed in detail. Our results extend several existing results. Examples are provided to illustrate our results. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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