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On adjunction contexts and regular quasi-monads

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Abstract

The unit element of a ring A plays an important part in classical module theory. Its existence is equivalent to the adjointness of the free functor from the base category of abelian groups to the category of (unital) A-modules with the forgetful functor. Releasing the conditions on the “unit,” the relation between the free functor and the forgetful functor will also be changed. In this paper, we suggest how this situation may be handled.

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Authors and Affiliations

  1. Heinrich Heine University, Düsseldorf, Germany

    R. Wisbauer

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  1. R. Wisbauer
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Correspondence to R. Wisbauer.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 74, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2010), Part 1, 2011.

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Wisbauer, R. On adjunction contexts and regular quasi-monads. J Math Sci 186, 808–810 (2012). https://doi.org/10.1007/s10958-012-1039-1

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  • DOI: https://doi.org/10.1007/s10958-012-1039-1

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