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Paper IPM / M / 16892 |
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Abstract: | |
In this paper, we introduce and study the notion of linkage
of modules by reflexive homomorphisms. This notion unifies and generalizes
several known concepts of linkage of modules and enables us to study the theory
of linkage of modules over Cohen�??Macaulay rings rather than the more
restrictive Gorenstein rings. It is shown that several known results for Gorenstein
linkage are still true in the more general case of module linkage over
Cohen�??Macaulay rings. We also introduce the notion of colinkage of modules
and establish an adjoint equivalence between the linked and colinked modules.
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