Cohen–Macaulay Modules and Holonomic Modules Over Filtered Rings
نویسندگان
چکیده
منابع مشابه
Cohen-macaulay Modules and Holonomic Modules over Filtered Rings
We study Gorenstein dimension and grade of a module M over a filtered ring whose assosiated graded ring is a commutative Noetherian ring. An equality or an inequality between these invariants of a filtered module and its associated graded module is the most valuable property for an investigation of filtered rings. We prove an inequality G-dimM ≤ G-dimgrM and an equality gradeM = grade grM , whe...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2009
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870802248605