
arXiv: 2211.04394
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.
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
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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