Pic\((R)\) and the \(R\)-flatness of \(R[X]/I\)

DOI10.1016/0022-4049(79)90048-3zbMath0442.13009OpenAlexW2074689863MaRDI QIDQ1143447

David E. Rush

Publication date: 1979

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(79)90048-3

zbMATH Keywords

Picard groupsintegral domainsideal class groupsprincipal idealintegrally closed domainflat modulelocally seminormal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Principal ideal rings (13F10) Ideals and multiplicative ideal theory in commutative rings (13A15) Picard groups (14C22) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items

Seminormal graded rings, Seminormal graded rings. II, A note on ideals in polynomial rings, Seminormality

Cites Work

• Sur les anneaux factoriels
• Torsion Free and Projective Modules
• Flat idelas i
• Efficient Generation of Maximal Ideals in Polynomial Rings
• Schreier Rings
• The Finiteness of I When R[ X /I is Flat]
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