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On the apparatus of differentiation DI–DV for posets

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Abstract

The apparatus of differentiation DI–DV was introduced by A.G. Zavadskij to classify different kind of posets, in particular, Zavadskij et al. described categorical properties of algorithms of differentiation DI and DII as Gabriel did for the algorithm of differentiation with respect to a maximal point introduced by Nazarova and Roiter. In this paper, it is presented categorical properties of the algorithms of differentiation DIII, DIV and DV for posets with involution.

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  1. Department of Mathematics, National University of Colombia, Bogotá, Colombia

    Agustín Moreno Cañadas & Veronica Cifuentes Vargas

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  1. Agustín Moreno Cañadas
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  2. Veronica Cifuentes Vargas
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Cañadas, A.M., Vargas, V.C. On the apparatus of differentiation DI–DV for posets. São Paulo J. Math. Sci. 14, 249–286 (2020). https://doi.org/10.1007/s40863-019-00117-8

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