Torsion-free rings with finite automorphism groups

Michael Friger

doi:10.1081/AGB-100001520

Torsion-free rings with finite automorphism groups

Michael Friger

The International Center of Health Innovation & Nutrition in memory of Manya Igel

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

Abstract

The paper considers finite rank torsion-free rings, i.e, subrings of finite-dimensional rational algebras. The main result of the paper is the characterization of finite rank torsion-free rings with finite automorphism groups. Nontrivial examples of rings R with AutR finite have been constructed.

Original language	English
Pages (from-to)	503-517
Number of pages	15
Journal	Communications in Algebra
Volume	29
Issue number	2
DOIs	https://doi.org/10.1081/AGB-100001520
State	Published - 1 Jan 2001

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1081/AGB-100001520

Cite this

@article{dbaf85fc2e2e49fea4fd249c70291acd,

title = "Torsion-free rings with finite automorphism groups",

abstract = "The paper considers finite rank torsion-free rings, i.e, subrings of finite-dimensional rational algebras. The main result of the paper is the characterization of finite rank torsion-free rings with finite automorphism groups. Nontrivial examples of rings R with AutR finite have been constructed.",

author = "Michael Friger",

year = "2001",

month = jan,

day = "1",

doi = "10.1081/AGB-100001520",

language = "English",

volume = "29",

pages = "503--517",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Torsion-free rings with finite automorphism groups

AU - Friger, Michael

PY - 2001/1/1

Y1 - 2001/1/1

N2 - The paper considers finite rank torsion-free rings, i.e, subrings of finite-dimensional rational algebras. The main result of the paper is the characterization of finite rank torsion-free rings with finite automorphism groups. Nontrivial examples of rings R with AutR finite have been constructed.

AB - The paper considers finite rank torsion-free rings, i.e, subrings of finite-dimensional rational algebras. The main result of the paper is the characterization of finite rank torsion-free rings with finite automorphism groups. Nontrivial examples of rings R with AutR finite have been constructed.

UR - https://www.scopus.com/pages/publications/0035590666

U2 - 10.1081/AGB-100001520

DO - 10.1081/AGB-100001520

M3 - Article

AN - SCOPUS:0035590666

SN - 0092-7872

VL - 29

SP - 503

EP - 517

JO - Communications in Algebra

JF - Communications in Algebra

IS - 2

ER -

Torsion-free rings with finite automorphism groups

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this