Document Type
Book Chapter
Rights
This item is available under a Creative Commons License for non-commercial use only
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.
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
DOI
https://doi.org/10.1515/9783110203035.315
Publication Details
In Models, Modules and Abelian Groups, de Gruyter, 2008. pp.315-323.