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Colloquium Mathematicum
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Colloquium Mathematicum
Article . 2003 . Peer-reviewed
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https://dx.doi.org/10.4064/cm9...
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A representation theorem for Chain rings

A representation theorem for chain rings.
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2003 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Colloquium Mathematicum, volume 96, pages 103-119 (issn: 0010-1354, eissn: 1730-6302, Copyright policy )
Authors: Alkhamees, Yousef; Alolayan, Hanan; Singh, Surjeet;

doi: 10.4064/cm96-1-10

A representation theorem for Chain rings

Abstract

Though usually a left `chain ring' means any ring whose left ideals are totally ordered by inclusion, in this paper the authors understand by a chain ring any local ring with identity, both sided Artinian and principal ideal ring. The main purpose of this paper it to establish a representation theorem for such rings in terms of appropriate homomorphic images of skew polynomial rings over their coefficient subrings.

Related Organizations
Keywords

Artinian rings and modules (associative rings and algebras), local rings, Artinian rings, Ordinary and skew polynomial rings and semigroup rings, coefficient subrings, separable algebras, Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras), Finite rings and finite-dimensional associative algebras, principle ideal rings, Noncommutative local and semilocal rings, perfect rings, chain rings

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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!
5
Average
Top 10%
Average
bronze