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The Quotient Category of a Graded Morita–Takeuchi Context

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Abstract

In this paper, we offer a graded equivalence between the quotient categories defined by any graded Morita–Takeuchi context via certain modifications of the graded cotensor functors. As a consequence, we show a commutative diagram that establish the relation between the closed objects of the categories gr C and M C, where C is a graded coalgebra.

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Authors and Affiliations

  1. Departamento de Estadística y Matemática Aplicada, Universidad de Almería, 04120, Almería, Spain

    F. Castaño Iglesias* & C. Năstăsescu**

Authors
  1. F. Castaño Iglesias*
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  2. C. Năstăsescu**
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Correspondence to F. Castaño Iglesias*.

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* Research partially supported by Spanish Project (BMF2002–02717) from MCT

** Partially supported by SAB2001-0027 from MEC

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Iglesias*, F.C., Năstăsescu**, C. The Quotient Category of a Graded Morita–Takeuchi Context. Acta Math Sinica 22, 123–130 (2006). https://doi.org/10.1007/s10114-004-0501-5

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  • DOI: https://doi.org/10.1007/s10114-004-0501-5

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