P. Danchev

activity

20232026

u - 1

Quasinilpotent for Each Unit

u

5 citations · 11 across the 38 of their papers we have counts for

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math.RA2023

Some New Results on Pseudo n-Strong Drazin Inverses in Rings

Jian Cui, Peter Danchev, Yuedi Zeng

In this paper, we give a further study in-depth of the pseudo $n$ -strong Drazin inverses in an associative unital ring $R$ . The characterizations of elements $a, b \in R$ for which $…

math.RA2023

On Some Extensions of $π$ -Regular Rings

Peter Danchev, Arash Javan, Ahmad Moussavi

Some variations of $π$ -regular and nil clean rings were recently introduced in \cite{5,8,7}, respectively. In this paper, we examine the structure and relationships between these c…

math.RA2023

Rings With $u^{n} - 1$ Nilpotent For Each Unit $u$

Peter Danchev, Arash Javan, Ahmad Moussavi

We continue the study in-depth of the so-called $n$ -UU rings for any $n \geq 1$ , that were defined by the first-named author in Toyama Math. J. (2017) as those rings $R$ for which $…

Some New Results on Pseudo n-Strong Drazin Inverses in Rings

On Some Extensions of π-Regular Rings

Rings With un−1 Nilpotent For Each Unit u

On Some Extensions of $π$ -Regular Rings

Rings With $u^{n} - 1$ Nilpotent For Each Unit $u$