Amalgamated rings with clean-type properties

Authors : Negin FARSHAD, Shaaban Ali SAFARİSABET, Ahmad MOUSSAVİ

Pages : 1358-1370

Doi:10.15672/hujms.676342

View : 12 | Download : 6

Publication Date : 2021-10-15

Article Type : Research Paper

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