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An application of a theorem of Gaschütz
Published online by Cambridge University Press: 17 April 2009
Abstract
A theorem of Gaschütz is used to prove: Let τ be a homomorphism of the distributively generated near-ring R with identity element and descending chain condition for left modules, τ have finite kernel, and U(R) be the group of units of R; then U(Rτ) = U(R)τ.
Furthermore it is shown that the finiteness condition for ker τ can be dropped in the case of R being a ring.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 1 , Issue 3 , December 1969 , pp. 381 - 384
- Copyright
- Copyright © Australian Mathematical Society 1969
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