Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Dehomogenization of gradings to Zariskian filtrations and applications to invertible ideals

Authors: Hui Shi Li and Freddy Van Oystaeyen
Journal: Proc. Amer. Math. Soc. 115 (1992), 1-11
MSC: Primary 16W50; Secondary 16W60
MathSciNet review: 1081698
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The method of dehomogenizing graded rings has been used successfully in algebraic geometry, e.g., a determinental ring is a dehomogenization of a Schubert cycle. We extend this method to noncommutative graded rings, dehomogenizing suitably graded rings to Zariski filtered rings and deriving, in a very elementary way, homological properties related to Auslander regularity and the Gorenstein property for noncommutative rings. As an application we study the lifting of such properties from a quotient modulo an invertible ideal.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16W50, 16W60

Retrieve articles in all journals with MSC: 16W50, 16W60

Additional Information

Article copyright: © Copyright 1992 American Mathematical Society