Basic properties of h-regular local Noetherian rings
Andrzej Tyc (1979)
Fundamenta Mathematicae
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Displaying similar documents to “Tight closure and strong F-regularity”
Basic properties of h-regular local Noetherian rings
On -rings and unit-regular rings
Roger Yue Chi Ming (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Remarks on strongly regular rings
Yue Chi Ming, Roger (1987)
Portugaliae mathematica
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On unit-regular ideals.
Chen, Huanyin, Chen, Miaosen (2003)
The New York Journal of Mathematics [electronic only]
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The almost isomorphism relation for simple regular rings.
Pere Ara, Kenneth R. Goodearl (1992)
Publicacions Matemàtiques
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A longstanding open problem in the theory of von Neumann regular rings is the question of whether every directly finite simple regular ring must be unit-regular. Recent work on this problem has been done by P. Menal, K. C. O'Meara, and the authors. To clarify some aspects of these new developments, we introduce and study the notion of almost isomorphism between finitely generated projective modules over a simple regular ring.
On centroids of generalized regular rings
Norman Lang (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On -injectivity, YJ-injectivity and quasi-Frobeniusean rings
Roger Yue Chi Ming (2002)
Commentationes Mathematicae Universitatis Carolinae
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A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective. Artinian rings are characterized in terms of Noetherian rings. Strongly regular rings and rings whose two-sided ideals are generated by central idempotents are characterized in terms of special annihilators. Quasi-Frobeniusean rings are characterized in terms...