Existentially closed structures and some embedding theorems

M. Shahryari

doi:10.1134/S0001434617050297

Existentially closed structures and some embedding theorems

M. Shahryari^*

^*Corresponding author for this work

Mathematics

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

3 Citations (Scopus)

Abstract

Using the notion of an existentially closed structure, we obtain embedding theorems for groups and Lie algebras. We also prove the existence of certain groups and Lie algebras with prescribed properties.

Original language	English
Pages (from-to)	1023-1032
Number of pages	10
Journal	Mathematical Notes
Volume	101
Issue number	5-6
DOIs	https://doi.org/10.1134/S0001434617050297
Publication status	Published - May 1 2017

Keywords

HNN-extension
algebraic closedness
axiom of choice
embedding of groups and Lie algebras
existential closedness
inductive classes

ASJC Scopus subject areas

General Mathematics

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10.1134/S0001434617050297

Cite this

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title = "Existentially closed structures and some embedding theorems",

abstract = "Using the notion of an existentially closed structure, we obtain embedding theorems for groups and Lie algebras. We also prove the existence of certain groups and Lie algebras with prescribed properties.",

keywords = "HNN-extension, algebraic closedness, axiom of choice, embedding of groups and Lie algebras, existential closedness, inductive classes",

author = "M. Shahryari",

note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

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doi = "10.1134/S0001434617050297",

language = "English",

volume = "101",

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N2 - Using the notion of an existentially closed structure, we obtain embedding theorems for groups and Lie algebras. We also prove the existence of certain groups and Lie algebras with prescribed properties.

AB - Using the notion of an existentially closed structure, we obtain embedding theorems for groups and Lie algebras. We also prove the existence of certain groups and Lie algebras with prescribed properties.

KW - HNN-extension

KW - algebraic closedness

KW - axiom of choice

KW - embedding of groups and Lie algebras

KW - existential closedness

KW - inductive classes

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DO - 10.1134/S0001434617050297

M3 - Article

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SP - 1023

EP - 1032

JO - Mathematical Notes

JF - Mathematical Notes

IS - 5-6

ER -

Existentially closed structures and some embedding theorems

Abstract

Keywords

ASJC Scopus subject areas

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