On the category of hyper MV-algebras

In this paper we study the category of hyper MV‐algebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MV‐algebra by a set. We use this to show that in the category of hyper MV‐algebras the monomorphisms are...

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Bibliographic Details
Published in:Mathematical logic quarterly 2009-01, Vol.55 (1), p.21-30
Main Authors: Ghorbani, Shokoofeh, Eslami, Esfandiar, Hasankhani, Abbas
Format: Article
Language:English
Subjects:
(co)equalizer
(Hyper) MV-algebra
category
free algebra
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Summary:In this paper we study the category of hyper MV‐algebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MV‐algebra by a set. We use this to show that in the category of hyper MV‐algebras the monomorphisms are exactly the one‐to‐one homomorphisms. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:0942-5616
1521-3870
DOI:10.1002/malq.200710082