Amalgamated rings with clean-type properties

Year 2021, Volume: 50 Issue: 5, 1358 - 1370, 15.10.2021

Negin Farshad , Shaaban Ali Safarisabet , Ahmad Moussavi

https://doi.org/10.15672/hujms.676342

Cited By: 2

Abstract

Let $f:A\rightarrow B$ be a ring homomorphism and $K$ be an ideal of $B$. Many variations of the notions of clean and nil-clean rings have been studied by a variety of authors. We investigate strongly $\pi$-regular and clean-like properties of the amalgamation ring $A\bowtie^{f}K$ of $A$ with $B$ along $K$ with respect to $f$.

Keywords

amalgamation ring, nil-clean ring, J-clean ring, semiclean ring, semiregular ring, exchange ring

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