Anti-Isomorphisms and the Failure of Duality

Authors

Brendan Goldsmith, Technological University DublinFollow
A. L. S. Corner
S. Wallutis, Universitat Duisberg-Essen

Document Type

Book Chapter

Rights

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

Publication Details

In Models, Modules and Abelian Groups, de Gruyter, 2008. pp.315-323.

Abstract

Groups and modules with isomorphic endomorphism rings are known, in certain cases, to be necessarily isomorphic. When such a ring isomorphism is replaced by an anti-isomorphism, the modules are often determined only up to isomorphism of certain duals. This type of situation is examined in a number of cases with special emphasis on the situation for mixed Abelian groups, where it is shown that no reasonable duality may exist.

DOI

https://doi.org/10.1515/9783110203035.315

Recommended Citation

Corner, A.L.S., Goldsmith, B. & Wallutis, S.L. (2008). Anti-Isomorphisms and the Failure of Duality. Models, Modules and Abelian Groups , DeGruyter. https//doi.org/10.1515/9783110203035.315