Affiliation:
1. Department of Mathematics, The Regional Center for Education and Training Professions, Souss Massa, P.O. Box 106, Inezgane, Morocco
Abstract
Let [Formula: see text] be an integral domain with quotient field [Formula: see text], [Formula: see text] be an overring of [Formula: see text], [Formula: see text] be an indeterminate over [Formula: see text] and [Formula: see text] be a subset of [Formula: see text]. We consider the ring of [Formula: see text]-valued[Formula: see text]-polynomials on[Formula: see text], denoted by [Formula: see text], formed by the polynomials [Formula: see text] such that [Formula: see text] for each [Formula: see text], that is, [Formula: see text]. In this paper, we study localization properties, local freeness and faithful flatness of [Formula: see text] over various classes of locally essential domains. In particular, we extend some known results to more general settings.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
5 articles.
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