Polynomial Root Extensions

D. D. Anderson () and David F. Anderson ()
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D. D. Anderson: University of Iowa, Department of Mathematics
David F. Anderson: The University of Tennessee, Department of Mathematics

A chapter in Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, 2023, pp 37-50 from Springer

Abstract: Abstract Let R ⊆ S be a (unitary) extension of commutative rings. In this paper, we study several generalizations of the integral closure of R in S by replacing monic polynomials in R[X] with other subsets of R[X].

Keywords: Integral closure; Algebraic closure; Complete integral closure; Root closure; Primary: 13B02; Secondary: 13B21; 13B22; 13B99 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-28847-0_3

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DOI: 10.1007/978-3-031-28847-0_3

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