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arxiv: 1109.6103 · v1 · pith:PPGQK3FAnew · submitted 2011-09-28 · 🧮 math.RA · math.KT· math.RT

Finitistic Dimension Conjecture and Conditions on Ideals

classification 🧮 math.RA math.KTmath.RT
keywords conditionsconjecturedimensionfinitisticidealsigusa-todorovapplicationcases
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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.

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