Basic elements and cancellation over Laurent polynomial rings

DOI10.1016/0021-8693(82)90301-5zbMath0523.13004OpenAlexW1979173474MaRDI QIDQ1056798

Satyagopal Mandal

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90301-5

zbMATH Keywords

Noetherian ringcancellation over Laurent ringsEisenbud-Evans conjectures

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Formal power series rings (13F25)

Related Items

Existence of unimodular elements in a projective module, Euler class group of a Laurent polynomial ring: local case, Existence of unimodular element in a projective module over symbolic Rees algebras, Subrings of polynomial rings and the conjectures of Eisenbud and Evans, Number of generators for modules over Laurent polynomial rings, Stability theorems for overrings of polynomial rings. II, On efficient generation of ideals, Efficient generation of ideals in overrings of polynomial rings

Cites Work

• Generating modules efficiently: Theorems from algebraic K-theory
• The Conjectures of Eisenbud and Evans
• Unnamed Item