Integral domains with a few semistar operations

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1 Scopus citations

Abstract

In this paper, we deal with integral domains with only a few semistar operations. Mainly, we give complete characterizations of integral domains with exactly three (respectively, four) semistar operations (respectively, semistar operation of finite character). Examples to illustrate our main theorems are given.

Original languageEnglish
Article number2450214
JournalJournal of Algebra and its Applications
Volume23
Issue number13
DOIs
StatePublished - 1 Nov 2024

Bibliographical note

Publisher Copyright:
© World Scientific Publishing Company.

Keywords

  • Prüfer domain
  • Star operation
  • divisorial domain
  • semistar operation
  • valuation domain

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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