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On the category of hyper MV‐algebras |
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| Authors: | Shokoofeh Ghorbani Esfandiar Eslami Abbas Hasankhani |
| Affiliation: | 1. Department of Mathematics of Bam, Shahid Bahonar University of Kerman, Kerman, Iran;2. Department of Mathematics & Fuzzy Systems and Applications Center of Excellence, Shahid Bahonar University of Kerman, Kerman, Iran;3. Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran |
| Abstract: | 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) |
| Keywords: | (Hyper) MV‐algebra category (co)equalizer pullback free algebra |