Research Article

S-finite Conductor Rings

M. El Hajoui
Polydisciplinary Faculty of Taroudant, Morocco
* Corresponding author
DOI icon 10.24018/ejmath.2023.4.1.191

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Submitted 2022-12-24
Published 2023-01-25

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Article Main Content

Recently, Anderson and Dumitrescu’s S-finiteness has attracted the interest of several authors. Inspired by the work done by S. Glaz (See [8]), in this paper, we introduce and study a new concept called S-finite conductor rings, as an extension of the classical notion of finite conductor rings. Knowing that the latter is closely linked to the notion of weakly finite rings, so for compatibility reasons, it is convenient to define and study an extension of the concept of finite presentation, we will call it weakly S-finite conductor rings.

Keywords: S-finitely generated, S-finitely presented, S-finite conductor rings, weakly S-finite conductor rings

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