An algorithm for the Quillen-Suslin theorem for monoid rings

DOI10.1016/S0022-4049(97)00020-0zbMath0887.13006OpenAlexW2080930738MaRDI QIDQ1358921

Reinhard C. Laubenbacher, Cynthia J. Woodburn

Publication date: 25 May 1998

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00020-0

zbMATH Keywords

Quillen-Suslin theoremcomputing a free basistoric monoid

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of higher-dimensional varieties (14Q15) (K_0) of other rings (19A49)

Related Items (7)

The Steinberg group of a monoid ring, nilpotence, and algorithms ⋮ Bases for projective modules in \(A_n(k)\). ⋮ An algorithm for unimodular completion over noetherian rings ⋮ An algorithm for the Quillen-Suslin theorem for quotients of polnomial rings by monomial ideals ⋮ Computing bases of complete intersection rings in Noether position ⋮ Unimodular rows over monoid rings ⋮ Constructions in \(R[x_1,\dots ,x_n\): applications to K-theory]

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