Photo from wikipedia
Abstract 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… Click to show full abstract
Abstract 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.
Keywords:
whose finiteness;
finiteness dimensions;
modules whose;
coincide cohomological;
dimensions coincide;
cohomological dimensions
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!