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A note on BCI-algebras of order Six.
Author(s):
1. Farhat Nisar: Department of Mathematics, Queen Mary College, Lahore, Pakistan
2. Shaban Ali Bhatti: Department of Mathematics, University of the Punjab, Lahore, Pakistan
Abstract:
In [4], author has characterized the BCI-algebras of order 6 by considering BCK-parts of order 5, 4, 3, 2 and 1 respectively vide his theorem on page 34. The total of all these cases is 88+14+6+1+1=110. According to the authors these are known as simpler cases. Again they claimed that there are some complicated BCI-algebras with BCK-parts of order 4, 3 and 2 respectively. He computed 69 such complicated BCI-algebras. Adding simpler and complicated BCI-algebras of order 6, the number springs out to be 110+69=179. In this note it is worked out and shown that the number of proper BCI-algebras of order six up to isomorphism is 197 instead of 179.
Page(s): 45-54
DOI: DOI not available
Published: Journal: Punjab University Journal of Mathematics, Volume: 38, Issue: 0, Year: 2006
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