
arXiv: 1109.6103
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.
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
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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