On injectivity, p-injectivity and YJ-injectivity.
Yue Chi Ming, R. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “On Von Neumann regular rings, X.”
On injectivity, p-injectivity and YJ-injectivity.
Semiprime SF-rings whose essential left ideals are two-sided.
Zhang, Jule, Du, Xianneng (1994)
International Journal of Mathematics and Mathematical Sciences
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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...
VNR rings, -regular rings and annihilators
Roger Yue Chi Ming (2009)
Commentationes Mathematicae Universitatis Carolinae
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Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered. Annihilator ideals and -regular rings are studied. Properties of WGP-injectivity are developed.
Self-injective Von Neumann regular subrings and a theorem of Pere Menal.
Carl Faith (1992)
Publicacions Matemàtiques
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This paper owes its origins to Pere Menal and his work on Von Neumann Regular (= VNR) rings, especially his work listed in the bibliography on when the tensor product K = A ⊗ B of two algebras over a field k are right self-injective (= SI) or VNR. Pere showed that then A and B both enjoy the same property, SI or VNR, and furthermore that either A and B are algebraic algebras over k (see [M]). This is connected with a lemma in the proof of the , namely a finite ring extension K = k[a,...
On quasi-Frobeniusean and Artinian rings.
Yue Chi Ming, Roger (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Embedding torsionless modules in projectives.
Carl Faith (1990)
Publicacions Matemàtiques
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In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring R is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.