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

Alexei G. Myasnikov; Mahmood Sohrabi

doi:10.1017/jsl.2016.29

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

Alexei G. Myasnikov, Mahmood Sohrabi

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English
Pages (from-to)	754-777
Number of pages	24
Journal	Journal of Symbolic Logic
Volume	82
Issue number	2
DOIs	https://doi.org/10.1017/jsl.2016.29
State	Published - 1 Jun 2017

Keywords

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

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10.1017/jsl.2016.29

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

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 map, Largest ring of scalars, Morley rank, nilpotent group, ring, ω-stability",

author = "Myasnikov, \{Alexei G.\} and Mahmood Sohrabi",

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year = "2017",

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AU - Myasnikov, Alexei G.

AU - Sohrabi, Mahmood

PY - 2017/6/1

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N2 - 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.

AB - 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.

KW - Bilinear map

KW - Largest ring of scalars

KW - Morley rank

KW - nilpotent group

KW - ring

KW - ω-stability

UR - https://www.scopus.com/pages/publications/85021164244

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VL - 82

SP - 754

EP - 777

JO - Journal of Symbolic Logic

JF - Journal of Symbolic Logic

IS - 2

ER -

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

Abstract

Keywords

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