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- W2993867162 abstract "We introduce and investigate the so-called D-regularly nil clean rings by showing that these rings are, in fact, a non-trivial generalization of the classical von Neumann regular rings and of the strongly $pi$-regular rings. Some other close relationships with certain well-known classes of rings such as $pi$-regular rings, exchange rings, clean rings, nil-clean rings, etc., are also demonstrated. These results somewhat supply a recent publication of the author in Turk. J. Math. (2019) as well as they somewhat expand the important role of the two examples of nil-clean rings obtained by Ster in Lin. Algebra & Appl. (2018). Likewise, the obtained symmetrization supports that for exchange rings established by Khurana et al. in Algebras & Represent. Theory (2015)." @default.
- W2993867162 created "2019-12-13" @default.
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- W2993867162 date "2019-12-05" @default.
- W2993867162 modified "2023-09-27" @default.
- W2993867162 title "A Generalization Of Regular And Strongly $Pi$-regular Rings" @default.
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