Projective generation of maximal ideals in polynomial rings

DOI10.1016/0021-8693(84)90127-3zbMath0562.13017OpenAlexW2032738599MaRDI QIDQ2266744

Shrikaut M. Bhatwadekar

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90127-3

zbMATH Keywords

complete intersectionprojective module over polynomial ringnumber of generators of a maximal ideal of polynomial ring

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Complete intersections (14M10) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items

Projective generation of ideals in a certain ring ⋮ Projective generation of ideals in polynomial extensions ⋮ On maximal ideals in polynomial and Laurent polynomial rings ⋮ The Euler class group of a polynomial algebra. II ⋮ Efficient generation of zero dimensional ideals in polynomial rings ⋮ Revisiting Nori's question and homotopy invariance of Euler class groups ⋮ On a question of nori: the local case

Cites Work

• Erweiterungskriterien für stabil freie Moduln über Polynomringen
• A cancellation theorem for projective modules in the metastable range
• A Note on Complete Intersections
• Efficient Generation of Maximal Ideals in Polynomial Rings
• ON STABLY FREE MODULES
• Introduction to Algebraic K-Theory. (AM-72)
• Unnamed Item