TY - JOUR
T1 - Generalized GCD rings III
AU - Ali, Majid M.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
KW - Flat ideal
KW - Greatest common divisor
KW - Invertible ideal
KW - Least common multiple
KW - Multiplication ideal
KW - Primitive polynomial
KW - Pure ideal
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M3 - Article
AN - SCOPUS:77957047038
SN - 0138-4821
VL - 51
SP - 531
EP - 546
JO - Beitrage zur Algebra und Geometrie
JF - Beitrage zur Algebra und Geometrie
IS - 2
ER -