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Strongly $\Pi$-regular Morita contexts
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Abstract
In this paper, we show that if the ring of a Morita context $(A,B,M,N,\psi ,\phi )$ with zero pairings is a strongly $\pi$-regular ring of bounded index if and only if so are $A$ and $B$. Furthermore, we extend this result to the ring of a Morita context over quasi-duo strongly $\pi$-regular rings.
관련 논문AI추천
Strong $P$-cleanness of trivial Morita contextsAbdullah Harmanci, Mete B. Calci, Sait Halicioglu대한수학회 · 대한수학회논문집2019 · 제34권 제4호Rings with many regular elementsEbrahim Nasibi, Nahid Ashrafi대한수학회 · 대한수학회논문집2017 · 제32권 제2호On weak $\Pi$-regularity and the simplicity of prime factor rings김진용, Hai Lan Jin대한수학회 · 대한수학회보2007 · 제44권 제1호Strong Reducedness and Strong Regularity for Near-ringsYasuyuki Hirano, Yong Uk Cho경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호Rings close to semiregular이양, A. Cigdem Ozcan, Pinar Aydogdu대한수학회 · 대한수학회지2012 · 제49권 제3호Morphic Elements in Regular Near-ringsAlex Samuel Bamunoba, David Ssevviiri, Philly Ivan Kimuli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제4호
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