ω-Stability and morley rank of bilinear maps, rings and nilpotent groups

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Abstract

In this paper we study the algebraic structure of ω-stable bilinear maps, arbitrary rings, and nilpotent groups. We will also provide rather complete structure theorems for the above structures in the finite Morley rank case.

Original languageEnglish
Pages (from-to)754-777
Number of pages24
JournalJournal of Symbolic Logic
Volume82
Issue number2
DOIs
StatePublished - 1 Jun 2017

Keywords

  • Bilinear map
  • Largest ring of scalars
  • Morley rank
  • nilpotent group
  • ring
  • ω-stability

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