Article contents
Length theorems for the general linear group of a module over a local ring
Published online by Cambridge University Press: 09 April 2009
Abstract
Let R be a not necessarily commutative local ring, M a free R-module, and π ∈ GL(M) such that B(π) = im(π –1)is a subspace of M. Then π = σ1…σtρ, where σi are simple mappings of given types, ρ is a simple mapping, B(sgr;i) and B(ρ) are subspaces and t ≤ dim B(π).
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 46 , Issue 1 , February 1989 , pp. 122 - 131
- Copyright
- Copyright © Australian Mathematical Society 1989
References
- 7
- Cited by