Sequentially Reflexive Modules

Abstract

We generalize the homological characterization of sequentially Cohen–Macaulay modules over a graded Gorenstein algebra to sequentially reflexive modules over Noetherian, not necessarily commutative rings, with a N-partial cotilting bimodule playing the role of the graded Gorenstein algebra. In such a way we get a complete version of the “Cotilting Theorem”. Finally, conditions are found to insure that the “N-partial cotilting notion” pass through a finite ring extension.

Key Words:

• Cotilting bimodule
• Duality
• Cohen–Macaulay ring
• Iwanaga–Gorenstein ring
• Sequentially Cohen–Macaulay module
• Canonical module

2000 Mathematics Subject Classification:

• Primary 16D90
• Secondary 16E30

Acknowledgments

Notes

^#Communicated by A. Facchini.