×

zbMATH — the first resource for mathematics

Castelnuovo’s regularity of graded rings and modules. (English) Zbl 0557.13007
A numerical invariant of a graded module, suggested by a definition of Mumford for coherent sheaves on projective spaces, is introduced. In certain cases, notably that of a graded module over a Cohen-Macaulay algebra, A, over a field, the invariant bears a simple relationship to the invariant a(A) of Goto and Watanabe. The invariant is used to study minimal free resolutions of commutative Noetherian graded rings.
Reviewer: W.M.Cunnea

MSC:
13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)
16W50 Graded rings and modules (associative rings and algebras)
PDF BibTeX XML Cite