On endomorphism and automorphisms of some torsion-free modules

Brendan Goldsmith

doi:10.21427/dt5s-hx29

On endomorphism and automorphisms of some torsion-free modules

Brendan Goldsmith

Technological University Dublin

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

Abstract

The relationship between the endomorphism ring and the automorphism group of an abelian p-group has been extensively investigated. It is known that theautomorphism group need not generate the full endomorphism ring. In this paper we investigate the analagous problem for torsion free modules over a complete discrete valuation ring obtaining similar results.

Original language	English
Pages (from-to)	417-423
Journal	Abelian Group Theory
DOIs	https://doi.org/10.21427/dt5s-hx29
Publication status	Published - 1 Jan 1987

Keywords

endomorphism ring
automorphism group
abelian p-group
torsion free modules
complete discrete valuation ring

Access to Document

10.21427/dt5s-hx29Licence: CC BY-NC-SA

Cite this

@article{3a86e256c29849f4863fc7ca0ac71c84,

title = "On endomorphism and automorphisms of some torsion-free modules",

abstract = "The relationship between the endomorphism ring and the automorphism group of an abelian p-group has been extensively investigated. It is known that theautomorphism group need not generate the full endomorphism ring. In this paper we investigate the analagous problem for torsion free modules over a complete discrete valuation ring obtaining similar results.",

keywords = "endomorphism ring, automorphism group, abelian p-group, torsion free modules, complete discrete valuation ring",

author = "Brendan Goldsmith",

year = "1987",

month = jan,

day = "1",

doi = "10.21427/dt5s-hx29",

language = "English",

pages = "417--423",

journal = "Abelian Group Theory",

}

TY - JOUR

T1 - On endomorphism and automorphisms of some torsion-free modules

AU - Goldsmith, Brendan

PY - 1987/1/1

Y1 - 1987/1/1

N2 - The relationship between the endomorphism ring and the automorphism group of an abelian p-group has been extensively investigated. It is known that theautomorphism group need not generate the full endomorphism ring. In this paper we investigate the analagous problem for torsion free modules over a complete discrete valuation ring obtaining similar results.

AB - The relationship between the endomorphism ring and the automorphism group of an abelian p-group has been extensively investigated. It is known that theautomorphism group need not generate the full endomorphism ring. In this paper we investigate the analagous problem for torsion free modules over a complete discrete valuation ring obtaining similar results.

KW - endomorphism ring

KW - automorphism group

KW - abelian p-group

KW - torsion free modules

KW - complete discrete valuation ring

U2 - 10.21427/dt5s-hx29

DO - 10.21427/dt5s-hx29

M3 - Article

SP - 417

EP - 423

JO - Abelian Group Theory

JF - Abelian Group Theory

ER -

On endomorphism and automorphisms of some torsion-free modules

Abstract

Keywords

Access to Document

Fingerprint

Cite this