$\omega$-stability and Morley rank of bilinear maps, rings and nilpotent groups

Alexei G. Myasnikov; Mahmood Sohrabi

arxiv: 1410.2280 · v2 · pith:ZEM73LKBnew · submitted 2014-10-08 · 🧮 math.GR · math.LO

ω-stability and Morley rank of bilinear maps, rings and nilpotent groups

Alexei G. Myasnikov , Mahmood Sohrabi This is my paper

classification 🧮 math.GR math.LO

keywords bilineargroupsmapsmorleynilpotentomegarankrings

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In this paper we study the algebraic structure of $\omega$-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.

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ω-stability and Morley rank of bilinear maps, rings and nilpotent groups

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