| BCK—代数的对偶理想 |
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| 引用本文： | 孟杰. BCK—代数的对偶理想[J]. 数学研究及应用, 1988, 8(4): 505-511 |
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| 作者姓名： | 孟杰 |
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| 作者单位： | 西北大学 西安 |
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| 摘 要： | 若X是一个集,*是X上的一个二元运算。0是X的一个常元, 满足V~(x,y,z)∈X(K1)(x*y)*(x*y)z*y,(K2)x*(x*y)y,(K3)xx,
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| 收稿时间： | 1985-07-13 |
Dual ideals of BCK-algebras |
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| Meng Jie. Dual ideals of BCK-algebras[J]. Journal of Mathematical Research with Applications, 1988, 8(4): 505-511 |
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| Authors: | Meng Jie |
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| Affiliation: | Northwest University |
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| Abstract: | In this note, at first, we point out on important error in Meference [2] . Next, we give a class of new dual ideals which is exactly dual to the ideals introduced by Is'eki [ 7 ].we also construct the guotient algebra with respect to these dual ideals and study some of their important properties. Moreover, we show that in setting of boun-ded implicative BCK-algebras, our results will imply those of [2] §4 , and so the error of [ 2] is corrected. |
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