2006Journal of the London Mathematical SocietyRequires access

SUPERDECOMPOSABLE PURE-INJECTIVE MODULES AND INTEGRAL GROUP RINGS

Gena Puninski, Vera Puninskaya, Carlo Toffalori

Open publisher page 9 citations

Abstract

We prove that if G is a non-trivial finite group, then the integral group ring ZG possesses a superdecomposable pure-injective module.

About this research paper

What this paper is about

We prove that if G is a non-trivial finite group, then the integral group ring ZG possesses a superdecomposable pure-injective module.

Why it matters

OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We prove that if G is a non-trivial finite group, then the integral group ring ZG possesses a superdecomposable pure-injective module.

Key concepts: Injective function, Group ring, Group (periodic table), Mathematics, Ring (chemistry), Injective module, Pure mathematics, Physics

Related papers

Back to paper searchBrowse research topicsOriginal source
SUPERDECOMPOSABLE PURE-INJECTIVE MODULES AND INTEGRAL GROUP RINGS — Research Paper | ScholarLens