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Rickart and Dual Rickart Objects in Abelian Categories

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Abstract

We introduce and study relative Rickart objects and dual relative Rickart objects in abelian categories. We show how our theory may be employed in order to study relative regular objects and (dual) relative Baer objects in abelian categories. We also give applications to module and comodule categories.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Str. M. Kogălniceanu 1, 400084, Cluj-Napoca, Romania

    Septimiu Crivei

  2. Department of Mathematics, Gebze Technical University, Çayirova Campus, 41400, Gebze-Kocaeli, Turkey

    Arda Kör

Authors
  1. Septimiu Crivei
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  2. Arda Kör
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Correspondence to Septimiu Crivei.

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Crivei, S., Kör, A. Rickart and Dual Rickart Objects in Abelian Categories. Appl Categor Struct 24, 797–824 (2016). https://doi.org/10.1007/s10485-015-9405-z

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  • DOI: https://doi.org/10.1007/s10485-015-9405-z

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