Polynomial extensions of Krull modules

AKALAN E., Marubayashi H.

Communications in Algebra, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.1080/00927872.2023.2181627
  • Journal Name: Communications in Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Krull module, polynomial module
  • Hacettepe University Affiliated: Yes

Abstract

Let M be a torsion-free module over an integral domain D with quotient field K. In this paper, we show that M is a Krull module over D in the sense of Costa-Johnson (Inert extensions of Krull domains, 1976) if and only if the polynomial module (Formula presented.) is a Krull module over (Formula presented.) in the sense of Costa-Johnson.