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Published in:
2008 | OriginalPaper | Chapter
Injective Morita Contexts (Revisited)
Authors : J. Y. Abuhlail, S. K. Nauman
Published in: Modules and Comodules
Publisher: Birkhäuser Basel
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This paper is an exposition of the so-called
injective Morita contexts
(in which the connecting bimodule morphisms are injective) and
Morita α-contexts
(in which the connecting bimodules enjoy some local projectivity in the sense of Zimmermann-Huisgen). Motivated by situations in which only one trace ideal is in action, or the compatibility between the bimodule morphisms is not needed, we introduce the notions of Morita
semi-contexts
and
Morita data
, and investigate them. Injective Morita data will be used (with the help of
static
and
adstatic modules
) to establish equivalences between some
intersecting subcategories
related to subcategories of categories of modules that are localized or colocalized by trace ideals of a Morita datum. We end up with applications of Morita
α
-contexts to
*-modules
and
injective right wide Morita contexts
.