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J. Kühr (2007)
PSEUDO BCK-SEMILATTICESDemonstratio Mathematica, 40
S. Jenei (2010)
Equality AlgebrasStudia Logica, 100
L. Ciungu (2014)
On pseudo-equality algebrasArchive for Mathematical Logic, 53
Nicholaos Galatos, P. Jipsen, T. Kowalski, H. Ono (2007)
Residuated lattices: An algebraic glimpse at sub-structural logics
G. Georgescu, A. Iorgulescu (2001)
Pseudo-BCK Algebras: An Extension of BCK Algebras
A. Iorgulescu (2006)
Classes of Pseudo-BCK algebras -Part IJ. Multiple Valued Log. Soft Comput., 12
Recently, a new algebraic structure called pseudo-equality algebra has been defined by Jenei and Kóródi as a generalization of the equality algebra previously introduced by Jenei. As a main result, it was proved that the pseudo-equality algebras are term equivalent with pseudo-BCK meet-semilattices. We found a gap in the proof of this result and we present a counterexample and a correct version of the theorem. The correct version of the corresponding result for equality algebras is also given.
Archive for Mathematical Logic – Springer Journals
Published: Mar 29, 2014
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