On the adjoint semigroups of p-separable BCI-algebras |
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| Authors: | Wenping Huang Fang Liu |
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| Affiliation: | 1. Department of Mathematics, Shaanxi Normal University, Xi’an, 710062, P.R. China
2. Department of Mathematics, Luliang Advanced Training College, Lishi, 033000, Shanxi, P. R. China
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| Abstract: | We give some conditions under which the p-semisimple part SP(X) of a BCIalgebra X becomes an ideal, and prove that the adjoint semigroup of a p-separable BCI-algebra is a direct product of a negatively partially ordered semigroup and an abelian group. |
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