On the notion of sequentially Cohen-Macaulay modules

Abstract

In this survey paper we first present the main properties of sequentially Cohen-Macaulay modules. Some basic examples are provided to help the reader with quickly getting acquainted with this topic. We then discuss two generalizations of the notion of sequential Cohen-Macaulayness which are inspired by a theorem of Jürgen Herzog and the third author.

References in corpus (2)

• Sequentially Cohen-Macaulay modules and local cohomology
• On the structure of finitely generated modules and the unmixed degrees

Cited by in corpus (4)

• On sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay modules
• The transfer of Artinian and Cohen-Macaulay properties under module-finite extensions
• On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locus
• Certain endomorphism rings of local cohomology modules and Lyubeznik numbers