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


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)).


Local cohomology Ideal transforms Associated primes 

Mathematics Subject Classification (2010)




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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