Ideals and Subalgebras in BCI-Algebras |
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| Authors: | Wenping Huang Young Bae Jun |
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| Affiliation: | (1) Department of Mathematics, Shaanxi Normal University, Xian, 710062, P. R. China;(2) Department of Mathematics Education, Gyeongsang National University, Chinju, 660-701, Korea |
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| Abstract: | We prove that there exists a maximal ideal of a BCI-algebra X in which each subalgebra is an ideal.AMS Subject Classification (1991): 06F35, 03G25.The second author was supported by the LG Yonam Foundation (1995). |
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| Keywords: | Strong atom p-semisimple closed ideal |
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