Torsion-Free Groups and Modules with the Involution Property

Authors

Brendan Goldsmith, Technological University DublinFollow
C. Meehan, Technological University Dublin
S.L. Wallutis, Fachbereich 6, Mathematik und Informatik, Universitat Essen, 45118 Essen, Germany

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

1.1 MATHEMATICS

Publication Details

https://www.sciencedirect.com/science/article/pii/S0022404905002835#!

Abstract

An Abelian group or module is said to have the involution property if every endomorphism is the sum of two automorphisms, one of which is an involution. We investigate this property for completely decomposable torsion-free Abelian groups and modules over the ring of -adic integers.

DOI

https://doi.org/10.1016/j.jpaa.2005.11.006

Recommended Citation

Goldsmith, B., Meehan, C. & Wallutis, S.L. (2007). Torsion-free groups and modules with the involution property. Journal of Pure and Applied Algebra, vol. 208, no. 1, pg. 127-134. 10.1016/j.jpaa.2005.11.006