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On a product of universal hyperalgebras Cover

Abstract

We introduce and study a new operation of product of universal hyperalgebras which lies, with respect to set inclusion, between the cartesian product of the hyperalgebras and the cartesian product of their idempotent hulls. We give sufficient conditions for the validity of the first exponential law and a weak form of the second exponential law for the direct power of universal hyperalgebras with respect to the product introduced.

DOI: https://doi.org/10.1515/auom-2015-0026 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 71 - 81
Submitted on: Oct 1, 2013
Accepted on: Dec 1, 2013
Published on: Apr 22, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Nitima Chaisansuk, Josef Šlapal, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.