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Acta Mathematica Vietnamica

, Volume 42, Issue 4, pp 701–715 | Cite as

Ideal Transforms with Respect to a Pair of Ideals

  • Nguyen Minh Tri
  • Tran Tuan NamEmail author
Article
  • 95 Downloads

Abstract

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)).

Keywords

Local cohomology Ideal transforms Associated primes 

Mathematics Subject Classification (2010)

13D45 

Notes

Acknowledgements

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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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2017

Authors and Affiliations

  1. 1.Department of Natural Science EducationDong Nai UniversityDong NaiVietnam
  2. 2.Faculty of Mathematics, Computer ScienceUniversity of Science, VNU-HCMHo Chi Minh CityVietnam
  3. 3.Department of Mathematics-InformaticsHo Chi Minh University of PedagogyHo Chi Minh CityVietnam

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