NEAR-RINGS AND GROUPS OF AFFINE MAPPINGS
- Authors: Falcone, G; Di Bartolo, A; Strambach, K
- Publication year: 2013
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/102925
Abstract
We classify semi-topological locally compact and semi-algebraic near-rings R where the set of non-invertible elements of R forms an ideal I of R such that the multiplicative group of R/I acts sharply transitively on I\{0}. To achieve our results we use as a main tool the classi cation of locally compact and algebraic (2; 2)-transformation groups given in two previuos papers.