On Strongly pi-Regular Rings with Involution
| Autor: | Cui, Jian, Danchev, Peter |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Communications in Mathematics, Volume 31 (2023), Issue 1 (November 11, 2022) cm:10273 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.46298/cm.10273 |
| Popis: | Recall that a ring R is called strongly pi-regular if, for every a in R, there is a positive integer n, depending on a, such that a^n belongs to the intersection of a^{n+1}R and Ra^{n+1}. In this paper we give a further study of the notion of a strongly pi-star-regular ring, which is the star-version of strongly pi-regular rings and which was originally introduced by Cui-Wang in J. Korean Math. Soc. (2015). We also establish various properties of these rings and give several new characterizations in terms of (strong) pi-regularity and involution. Our results also considerably extend recent ones in the subject due to Cui-Yin in Algebra Colloq. (2018) proved for pi-star-regular rings and due to Cui-Danchev in J. Algebra Appl. (2020) proved for star-periodic rings. Comment: 8 pages |
| Databáze: | arXiv |
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