published by Damascus University
in 2008
in Mathematics
and research's language is
العربية
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Abstract in English
We present a necessary and sufficient condition for BCI-algebra X
to be of KL- product, this condition is pure numerical, that is the
number of elements of the row which is opposite to the zero element
in the Cayley table of the operation divides the number of elements
in each row of the mentioned table.
References used
Dudek, W. A. (1988). On the axioms system for BCI-algebras, Prace Nauk. Wsp, Czestochows, Mathematyka 2
Hoo, C. S. (1990). Closed ideals and p-semisimple BCI-algebras, Math. Japonica. 35, 1103-1112
Iseki, K. (1966) An algebra related with a prepositional czlculus, Pros. Japan. Acad. 42, 26-29