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- W1968741036 abstract "Let A and B be two rings, M be a left B, right A bimodule and be the formal triangular matrix ring. It is known that the category of right T-modules is equivalent to the category Ω of triples (X, Y)f, where X is a right A-module, Y is a right B-module and is a right A-homomorphism. Using this alternative description of right T-modules, in the first part of this paper, we study the vanishing of the extension functor ‘Ext’ over T. To this end, we first describe explicitly the structure of (right) T-modules of finite projective (respectively, injective) dimension. Using these results, we shall characterize respectively modules in Auslander's G-class, Gorenstein injective modules, cotorsion modules and tilting and cotilting modules over T. As another application we investigate the structure of the flat covers of right T-modules." @default.
- W1968741036 created "2016-06-24" @default.
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- W1968741036 date "2006-01-20" @default.
- W1968741036 modified "2023-10-18" @default.
- W1968741036 title "On the vanishing of Ext over formal triangular matrix rings" @default.
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- W1968741036 doi "https://doi.org/10.1515/forum.2006.048" @default.
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