Volume no :16, Issue no: 1, September (2016)

Journal of Algebra, Number Theory: Advances and Applications

ASYMPTOTIC COMPLETION OF A MODULE WITH RESPECT TO A FILTRATION

Author's: Eric Dago Akeke and Philippe Ayegnon
Pages: [1] - [23]
Received Date: July 28, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121697

Abstract

The concept of I-cloture of a module with respect to an ideal I has been defined by Naudé and Naudé in [5]. For any filtration f on a Noetherian ring A and for a submodule N of a finitely generated A-module M, we define the f-cloture Some results in [5] are extended to filtrations on a ring. We show that for an AP-filtration f, the map defined on a set of f-normal submodule of M is a semiprime operation.

Keywords

filtration, module, ring.