A calculation of injective dimension over valuation domains
A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
A General Resolution for Grade Four Gorenstein Ideals.
A note on PG-modules.
A note on the Stanley-Reisner ring of a join and of a suspension.
A remark on Koszul complexes.
A variant theory for the Gorenstein flat dimension
This paper discusses a variant theory for the Gorenstein flat dimension. Actually, since it is not yet known whether the category (R) of Gorenstein flat modules over a ring R is projectively resolving or not, it appears legitimate to seek alternate ways of measuring the Gorenstein flat dimension of modules which coincide with the usual one in the case where (R) is projectively resolving, on the one hand, and present nice behavior for an arbitrary ring R, on the other. In this paper, we introduce...
About G-rings
In this paper, we are concerned with G-rings. We generalize the Kaplansky’s theorem to rings with zero-divisors. Also, we assert that if is a ring extension such that for some regular element of , then is a G-ring if and only if so is . Also, we examine the transfer of the G-ring property to trivial ring extensions. Finally, we conclude the paper with illustrative examples discussing the utility and limits of our results.
Acyclicity versus total acyclicity for complexes over noetherian rings.
Amplitude inequalities for complexes
An axiomatic approach to homological dimension.
Anneaux cohérents de dimension homologique finie