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Abstract Let n and t be non-negative integers, R a commutative Noetherian ring with an ideal of R, M and N finite R-modules, and X an arbitrary R-module. We prove… Click to show full abstract
Abstract Let n and t be non-negative integers, R a commutative Noetherian ring with an ideal of R, M and N finite R-modules, and X an arbitrary R-module. We prove that if is an R-module for all then is an -cofinite R-module for all i < t, is an R-module, and is a finite set for all It shows that is -cofinite and is finite for all i. In particular, is -cofinite for all i whenever Also, is finite for all i when R is semi-local with
Keywords:
modules respect;
module;
local cohomology;
generalized local;
cohomology modules;
cofiniteness generalized
Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!