It is known that commutative BCK-algebras form a variety, but BCK-algebras do not [4]. Therefore H. Yutani introduced the notion of quasicommutative BCK-algebras. In this article we first present the notion and general theory of quasi-commutative BCI-algebras. Then we discuss the reduction of the type of quasi-commutative BCK-algebras and some special classes of quasicommutative BCI-algebras.
@article{bwmeta1.element.doi-10_2478_v10037-008-0030-2,
author = {Tao Sun and Weibo Pan and Chenglong Wu and Xiquan Liang},
title = {General Theory of Quasi-Commutative BCI-algebras},
journal = {Formalized Mathematics},
volume = {16},
year = {2008},
pages = {253-258},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0030-2}
}
Tao Sun; Weibo Pan; Chenglong Wu; Xiquan Liang. General Theory of Quasi-Commutative BCI-algebras. Formalized Mathematics, Tome 16 (2008) pp. 253-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0030-2/
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