Characterizing local rings via complete intersection homological dimensions
نویسندگان
چکیده
منابع مشابه
Characterizing Local Rings via Homological Dimensions and Regular Sequences Shokrollah Salarian, Sean Sather-wagstaff, and Siamak Yassemi
Let (R, m) be a Noetherian local ring of depth d and C a semidualizing R-complex. Let M be a finite R-module and t an integer between 0 and d. If GC -dimension of M/aM is finite for all ideals a generated by an R-regular sequence of length at most d − t then either GC -dimension of M is at most t or C is a dualizing complex. Analogous results for other homological dimensions are also given.
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ژورنال
عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics
سال: 2017
ISSN: 1303-5010
DOI: 10.15672/hjms.2017.533