Classification of Hyper MV -algebras of Order 3

Authors

  • R.A. Borzooei Department of Mathematics, Shahid Beheshti University, G. C.,Tehran, Iran
  • A. Radfar Department of Mathematics, Payame Noor University, Tehran, Iran

Keywords:

hyper MV -algebra

Abstract

In this paper, we investigated the number of hyper MV -algebras
of order 3. In fact, we prove that there are 33 hyper MV -algebras of
order 3, up to isomorphism.

References

C. C. Chang, Algebraic analysis of many valued logics, Trans. Amer. Math. Soc, 88 (1958), 467{490.

G. Georgescu, A. Iorgulescu, Pseudo-MV algebras, Multi Valued Logic, 6, (2001), 95-135.

S. Ghorbani, E. Eslami and A. Hasankhani, Quotient hyper MV-algebras, Scientiae Mathematicae Japonicae, 3 (2007) 371{386.

Sh. Ghorbani, A. Hasankhani, and E. Eslami, Hyper MV-algebras, Set-Valued Math. Appl, 1 (2008), 205{222.

F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandin aves, Stockholm (1934), 45{49.

D. Mundici, Interpretation of AF C -algebras in Lukasiewicz sentential calculus, J. Funct. Anal, 65, (1986), 15{63.

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Published

2013-12-29

Issue

Vol. 25 (2013)

Section

Volume 25-2013

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