Generalized GCD rings III

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Greatest common divisors and least common multiples of fractional invertible ideals, finitely generated faithful multiplication ideals and finitely generated projective ideals have been investigated in [1], [3] and [5]. In this paper we extend these results to finitely generated flat ideals. We also study the greatest common divisors and least common multiples of polynomials whose coefficients are invertible ideals, generalizing results concerning GCD domains to GGCD domains.

Original languageEnglish
Pages (from-to)531-546
Number of pages16
JournalBeitrage zur Algebra und Geometrie
Volume51
Issue number2
Publication statusPublished - 2010

Fingerprint

Ring
Lowest common multiple
Finitely Generated
Highest common factor
Invertible
Faithful
Multiplication
Fractional
Polynomial
Coefficient

Keywords

  • Flat ideal
  • Greatest common divisor
  • Invertible ideal
  • Least common multiple
  • Multiplication ideal
  • Primitive polynomial
  • Pure ideal

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Generalized GCD rings III. / Ali, Majid M.

In: Beitrage zur Algebra und Geometrie, Vol. 51, No. 2, 2010, p. 531-546.

Research output: Contribution to journalArticle

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