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.
Received: 2008-07-19
Revised: 2009-06-08
Published Online: 2010-04-14
Published in Print: 2011-May
© de Gruyter 2011
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Articles in the same Issue
- The generalized conjugacy problem for virtually free groups
- Stably diffeomorphic manifolds and l2q+1(ℤ[π])
- The size of the quotient LUC(G)/UC(G)
- Finitistic dimension conjecture and conditions on ideals
- Principal 2-bundles and their gauge 2-groups
- Flat covers over formal triangular matrix rings and minimal Quillen factorizations
- Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry
- Algebraic Bol loops
Articles in the same Issue
- The generalized conjugacy problem for virtually free groups
- Stably diffeomorphic manifolds and l2q+1(ℤ[π])
- The size of the quotient LUC(G)/UC(G)
- Finitistic dimension conjecture and conditions on ideals
- Principal 2-bundles and their gauge 2-groups
- Flat covers over formal triangular matrix rings and minimal Quillen factorizations
- Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry
- Algebraic Bol loops