Contents
Indépendance analytique généralisée et Extensions de la Largeur analytique à une Axe-quasi-graduation de Module, Cas des Axe-filtrations de Module
Laurent A. WASSA 1), Kouadjo P. BROU 2),
Eugène D. BECHE 3), and Youssouf M. DIAGANA 4)
1), 2) et 4) Université Nangui Abrogoua, UFR-SFA
Laboratoire de Mathématiques et Informatique
02 BP 801 Abidjan 02, Côte d’Ivoire
Mathematics Subject Classification: (MSC 2020) 13A02, 13A15, 13A30, 13B25, 13F20.
Key words: Indépendance analytique généralisée,
Largeur analytique, Axe-quasi-graduation.
Abstract:
In this paper, we study the analytic spread for a broad class of families
of subgroups of a module, which are not necessarily decreasing and satisfy a
weakened notion of compatibility, called axis-quasi-graduations of a module.
Several notions of analytic spread will be extended to axis-quasi-graduations of a
module, and comparisons will be established.
Through examples, we will show that certain properties of filtrations do not
extend to axis-quasi-graduations of a module.