Abstract
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.
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