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ω-STABILITY AND MORLEY RANK OF BILINEAR MAPS, RINGS AND NILPOTENT GROUPS

Published online by Cambridge University Press:  19 June 2017

ALEXEI G. MYASNIKOV  and
MAHMOOD SOHRABI
ALEXEI G. MYASNIKOV
Affiliation:
DEPARTMENT OF MATHEMATICAL SCIENCES STEVENS INSTITUTE OF TECHNOLOGY HOBOKEN, NJ 07030, USAE-mail: [email protected]
MAHMOOD SOHRABI
Affiliation:
DEPARTMENT OF MATHEMATICAL SCIENCES STEVENS INSTITUTE OF TECHNOLOGY HOBOKEN, NJ 07030, USAE-mail: [email protected]
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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.

Keywords

bilinear maplargest ring of scalarsringnilpotent groupω-stabilityMorley rank
Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 2 , June 2017 , pp. 754 - 777
Copyright
Copyright © The Association for Symbolic Logic 2017 

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