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Some properties of epimorphisms of Hilbert algebras

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Central European Journal of Mathematics

Abstract

This paper represents a start in the study of epimorphisms in some categories of Hilbert algebras. Even if we give a complete characterization for such epimorphisms only for implication algebras, the following results will make possible the construction of some examples of epimorphisms which are not surjective functions. Also, we will show that the study of epimorphisms of Hilbert algebras is equivalent with the study of epimorphisms of Hertz algebras.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Craiova, Craiova, Romania

    Dumitru Buşneag & Mircea Ghiţă

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  1. Dumitru Buşneag
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  2. Mircea Ghiţă
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Correspondence to Dumitru Buşneag.

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Buşneag, D., Ghiţă, M. Some properties of epimorphisms of Hilbert algebras. centr.eur.j.math. 8, 41–52 (2010). https://doi.org/10.2478/s11533-009-0070-z

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  • DOI: https://doi.org/10.2478/s11533-009-0070-z

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