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Article . 2011
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Article . 2011 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2011
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Finitistic dimension conjecture and conditions on ideals

Finitistic dimension conjecture and conditions on ideals.
Authors: Wei, Jiaqun;

Finitistic dimension conjecture and conditions on ideals

Abstract

The notion of Igusa-Todorov classes is introduced in connection with the finitistic dimension conjecture. As application we consider conditions on special ideals which imply the Igusa-Todorov and other finiteness conditions on modules proving the finitistic dimension conjecture and related conjectures in those cases.

Related Organizations
Keywords

radical, finitistic dimension conjecture, projective dimension, Homological dimension in associative algebras, K-Theory and Homology (math.KT), Mathematics - Rings and Algebras, Representation type (finite, tame, wild, etc.) of associative algebras, Igusa-Todorov algebras, endomorphism algebras, Rings and Algebras (math.RA), relative hereditary algebras, Mathematics - K-Theory and Homology, FOS: Mathematics, Artin algebras, Representation Theory (math.RT), 16E05, 16E10, 16G20, Syzygies, resolutions, complexes in associative algebras, homological conjectures, Mathematics - Representation Theory, Representations of associative Artinian rings, representation dimension

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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!
10
Top 10%
Top 10%
Average
Green
bronze