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On a characterization of EP bifiltrations on commutative rings



Moussa SANGARÉ
Faculté des Sciences et Techniques, Département de Mathématiques et d’Informatique,
Université des Sciences, des Techniques et des Technologies de Bamako, Mali


Daouda SANGARÉ and Yoro DIAKITÉ
Université Nangui Abrogoua, UFR SFA,
Laboratoire de Mathématiques et Informatique



Mathematics Subject Classification: (MSC 2010) 13A02, 13A30, 13J30, 16W50, 16W70
Key words: Filtration, Bifiltration, EP Filtration, EP Bifiltration

Abstract:

In this paper, we introduce the concept of Essentially Powers Bifiltraton EP bifiltration for short (EP bifiltration for short) and then, starting from a given bifiltration F on a commutative ring A, we determine a bifiltration H on A which is an EP bifiltration. We deduce a necessary and sufficient condition for the bifiltrations in some class to be EP.

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