A construction of Prüfer rings involving quotients of Rees algebras

Carmelo Antonio Finocchiaro*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

A family of quotients of a Rees algebra associated to a ring with respect to a fixed ideal was recently introduced by Barucci, D’Anna and Strazzanti. In this paper, we will classify rings of this family that satisfy certain Prüfer-like properties and, as a particular case, we will extend results obtained for amalgamated duplications and Nagata idealizations.

Original languageEnglish
Article number1850098
Number of pages16
JournalJournal of Algebra and its Applications
Volume17
Issue number6
DOIs
Publication statusPublished - Jun 2018

Keywords

  • idealization
  • Prüfer ring
  • Rees algebras

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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