Generalized -rings and von Neumann regular rings
Giuseppe Baccella (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Giuseppe Baccella (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Yasuyuki Hirano (1994)
Publicacions Matemàtiques
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A ring R is said to be if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.
Roger Yue Chi Ming (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Zaks, Abraham (1973)
Portugaliae mathematica
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Guo, Xiaojiang, Shum, K.P. (2006)
International Journal of Mathematics and Mathematical Sciences
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Karim, D. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05. This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union of Artinian subrings.
Huanyin Chen, Miaosen Chen (2005)
Czechoslovak Mathematical Journal
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It is shown that a ring is a -ring if and only if there exists a complete orthogonal set of idempotents such that all are -rings. We also investigate -rings for Morita contexts, module extensions and power series rings.