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GIOVANNI FALCONE

NEAR-RINGS AND GROUPS OF AFFINE MAPPINGS

  • Autori: Falcone, G.; DI BARTOLO, A.; Strambach, K.
  • Anno di pubblicazione: 2013
  • Tipologia: Articolo in rivista (Articolo in rivista)

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.

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