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FP-injectivity of factors of injective modules
François Couchot
It is shown that a ring is left semihereditary if and only each homomorphic image of its injective hull as left module is FP-injective. It is also proven that a commutative ring R…
Weak dimension of FP-injective modules over chain rings
Francois Couchot
It is proven that the weak dimension of each FP-injective module over a chain ring which is either Archimedean or not semicoherent is less or equal to 2.
Indecomposable injective modules of finite Malcev rank over local commutative rings
Francois Couchot
It is proven that each indecomposable injective module over a valuation domain is polyserial if and only if each maximal immediate extension of is of finite r…
Finitistic Weak Dimension of Commutative Arithmetical Rings
Francois Couchot
It is proven that each commutative arithmetical ring has a finitistic weak dimension . More precisely, this dimension is 0 if is locally IF, 1 if is locally sem…