Injective Morita Contexts (Revisited)

  • J. Y. Abuhlail
  • S. K. Nauman
Part of the Trends in Mathematics book series (TM)


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.


Full Subcategory Dual Pairing Module Category Abelian Category Unital Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  • J. Y. Abuhlail
    • 1
  • S. K. Nauman
    • 2
  1. 1.Department of Mathematics & StatisticsKing Fahd University of Petroleum & MineralsDhahran (KSA)
  2. 2.Department of MathematicsKing AbdulAziz UniversityJeddah (KSA)

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