arXiv subjects

Akram Ghanbari Doust

Publications and source records attributed to Akram Ghanbari Doust.

2 recordsLinked to original sources

arXiv2021

Modules whose finiteness dimensions coincide with their cohomological dimensions

Let a be an ideal of a commutative Noetherian ring R with identity. We study finitely generated R-modules M whose a-finiteness and a-cohomological dimensions are equal. In particular, we examine relative analogues of quasi-Buchsbaum, Buchsbaum and surjective Buchsbaum modules. We reveal several interactions between these types of modules that extend some of the existing results in the classical theory to the relative one.

math.AC↗

arXiv2019

Cohomological dimension and relative Cohen-Maculayness

Let R be a commutative Noetherian (not necessarily local) ring with identity and a be a proper ideal of R. We introduce a notion of a-relative system of parameters and characterize them by using the notion of cohomological dimension. Also, we present a criterion of relative Cohen-Macaulay modules via relative system of parameters.

math.AC↗