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Multi-E-Reflective and Bireflective Subcategories of Partial Algebras

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Abstract

A category PAlg(τ) of partial algebras of a given type τ will be introduced. Then we will present a categorical concept in order to characterize those subcategories of PAlg(τ), which are closed under the formation of various kinds of subobjects. We will also give a characterization for bireflective subcategories of PAlg(τ), which enables us to show, that the subcategory Alg(τ) consisting of all total algebras of type τ is the smallest bireflective subcategory of PAlg(τ).

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  1. Mathematics Department, University of Bremen, Germany

    C. T. Nguyen

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  1. C. T. Nguyen
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Nguyen, C.T. Multi-E-Reflective and Bireflective Subcategories of Partial Algebras. Applied Categorical Structures 5, 143–154 (1997). https://doi.org/10.1023/A:1008697711689

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