Depth and Stanley Depth of Multigraded Modules

Abstract

We study the behavior of depth and Stanley depth along short exact sequences of multigraded modules and under reduction modulo an element.

Key Words:

• Depth
• Multigraded modules
• Stanley decompositions
• Stanley depth

2000 Mathematics Subject Classification:

• Primary 13H10
• Secondary 13P10, 13C15, 13F20

ACKNOWLEDGMENTS

I am grateful to Professor Jürgen Herzog for useful discussions and comments during the preparation of the article. I also want to thank referee for Corollary 1.3, Examples 1.4 and 2.8.

The author wants to acknowledge Higher Education Commission Pakistan for partial financial support during preparation of this work.

Notes

Communicated by T. Albu.