Annales Mathematiques Africaines


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On a reduction criterion for bifiltrations in terms
of their generalized Rees rings



Yaya IDRISSA and Daouda SANGARÉ
Université Nangui Abrogoua, UFR SFA,
Laboratoire de Mathématiques et Informatique



Mathematics Subject Classification: (MSC 2010) 13A15, 16W70
Key words : Filtration, Bifiltration, Rees rings of a Bifiltration, Noetherian Bifiltrations, Reduction of Bifiltrations 

Abstract:


In this paper, a concept of reduction of bifiltrations is introduced. Similarly to the case of filtrations, a reduction criterion for bifiltrations in some class in terms of their generalized Rees rings is given

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