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
Goldsmith, Brendan; Corner, A. L. S.; and Wallutis, S., "Anti-isomorphisms and the failure of duality" (2008). Book chapter/book. 2.
https://arrow.tudublin.ie/scschmatbk/2
Publication Details
In Models, Modules and Abelian Groups, de Gruyter, 2008. pp.315-323.