The probability when a finite commutative ring is weakly nil-clean-Reference-Cited by-同舟云学术

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The probability when a finite commutative ring is weakly nil-clean

Published:2022-01-22 Issue:04 Volume:15 Page:
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Danchev Peter¹,Samiei Mahdi²

Affiliation:

1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria

2. Department of Mathematics, Velayat University, Iranshahr, Iran

Abstract

We calculate the probability when a finite commutative ring is weakly nil-clean in terms of invariants associated only with the given whole ring. This continues the study of our recent paper concerned with the nil-clean case [P. Danchev and M. Samiei, The probability when a finite commutative ring is nil-clean, Trans. A. Razmadze Math. Inst. 176 (2022)].

Funder

Bulgarian National Science Fund

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557122501844

Reference11 articles.

1. Commutative Rings with Finitely Generated Multiplicative Semigroup

2. Some bounds for commuting probability of finite rings

3. Commutative weakly nil clean unital rings

4. Commutative weakly nil-neat rings

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