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arXiv · 1706.04364

Unimodular rows over monoid rings

Joseph Gubeladze
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Abstract

For a commutative Noetherian ring R of dimension d and a commutative cancellative monoid M, the elementary action on unimodular n-rows over the monoid ring R[M] is transitive for n>=max(d+2,3). The starting point is the case of polynomial rings, considered by A. Suslin in the 1970s. The main result completes a project, initiated in the early 1990s, and suggests a new direction in the study of K-theory of monoid rings.

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Joseph Gubeladze. 2017-06-14. Unimodular rows over monoid rings. https://arxiv.org/abs/1706.04364

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