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Hyper MV ‐ideals in hyper MV ‐algebras
Author(s) -
Torkzadeh Lida,
Ahadpanah Afsaneh
Publication year - 2010
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200810035
Subject(s) - mathematics , algebra over a field , characterization (materials science) , pure mathematics , order (exchange) , physics , finance , economics , optics
In this paper we define the hyper operations ⊗, ∨ and ∧ on a hyper MV ‐algebra and we obtain some related results. After that by considering the notions ofhyper MV ‐ideals and weak hyper MV ‐ideals, we prove some theorems. Then we determine relationships between (weak) hyper MV ‐ideals in a hyper MV ‐algebra ( M , ⊕, *, 0) and (weak) hyper K ‐ideals in a hyper K ‐algebra ( M , °, 0). Finally we give a characterization of hyper MV ‐algebras of order 3 or 4 based on the (weak) hyper MV ‐ideals (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)