<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

On a product of universal hyperalgebras

Program of Mathematics, Faculty of Science and Technology, Chiang Rai Rajabhat University, Chiang Rai,

Department of Mathematics, Brno University of Technology, Technicka 2, 61669 Brno,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On a product of universal hyperalgebras"}

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...

On a product of universal hyperalgebras

Published Online: Apr 22, 2017

Page range: 71 - 81

Received: Oct 01, 2013

Accepted: Dec 01, 2013

DOI: https://doi.org/10.1515/auom-2015-0026

Keywords
Universal hyperalgebra, combined product, diagonality, mediality, direct power

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On a product of universal hyperalgebras

Published Online: Apr 22, 2017

Page range: 71 - 81

Received: Oct 01, 2013

Accepted: Dec 01, 2013

DOI: https://doi.org/10.1515/auom-2015-0026

KeywordsUniversal hyperalgebra, combined product, diagonality, mediality, direct power

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Universal hyperalgebra, combined product, diagonality, mediality, direct power