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RESEARCH PRODUCT

NEAR-RINGS AND GROUPS OF AFFINE MAPPINGS

A. Di BartoloGiovanni FalconeK. Strambach

subject

Local near-rings imprimitive groups affine mappingsSettore MAT/03 - Geometria

description

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.

http://hdl.handle.net/10447/102925