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Left–right symmetry of finite finitistic dimension

Left-right symmetry of finite finitistic dimension
Authors: Charley Cummings;

Left–right symmetry of finite finitistic dimension

Abstract

AbstractWe show that the finitistic dimension conjecture for finite‐dimensional algebras is equivalent to the left–right symmetry of finite finitistic dimension for finite‐dimensional algebras. We also prove the equivalent statement for injective generation.

Country
Denmark
Related Organizations
Keywords

Rings and Algebras (math.RA), Homological dimension in associative algebras, FOS: Mathematics, Derived categories and associative algebras, Grothendieck groups, \(K\)-theory, etc., derived category, Mathematics - Rings and Algebras, finite dimensional algebra, Representation Theory (math.RT), finitistic dimension, Mathematics - Representation Theory

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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!
4
Top 10%
Average
Top 10%
Green
hybrid