Ideal Transforms with Respect to a Pair of Ideals
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We introduce the ideal transform functor D I,J with respect to a pair of ideals (I,J) which is an extension of the ideal transform functor D I of Brodmann. Some equivalent conditions on the exactness of the ideal transform functor will be shown in the paper. We also study the finiteness of the sets Ass R (R i D I (N)) and Ass R (R i D I, J (M,N)).
KeywordsLocal cohomology Ideal transforms Associated primes
Mathematics Subject Classification (2010)13D45
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 101.04-2015.22.
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