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 language | English |
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Pages (from-to) | 531-546 |
Number of pages | 16 |
Journal | Beitrage zur Algebra und Geometrie |
Volume | 51 |
Issue number | 2 |
Publication status | Published - 2010 |
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