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On Self-Injectivity and p-Injectivity

descriptionPublicationkeyboard_double_arrow_right Article 16 Mar 2011 Italy English Publisher:Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Authors: Yue Chi Ming, Roger;

handle: 10077/4152

On Self-Injectivity and p-Injectivity

Abstract

A generalization of injectivity is studied and several properties are developed. Von Neumann regular rings are characterized. Sufficient conditions are given for a ring to admit a strongly regular classical left quotient ring. A nice characterization of strongly regular rings is given. Special direct summands of left self-injective regular and left continuous regular rings are considered.

Country
Italy
Related Organizations
Keywords

16N60, Injective, p-injective, Von Neumann regular, 16D40, 16E50, 16D50, Strongly regular, Non-singular

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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