| BZ-代数的理想及其同态定理 |
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| 引用本文： | 叶瑞芬,张小红. BZ-代数的理想及其同态定理[J]. 华东理工大学学报(自然科学版), 1993, 0(6) |
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| 作者姓名： | 叶瑞芬 张小红 |
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| 作者单位： | 华东理工大学计算机系(叶瑞芬)，汉中师范学院数学系(张小红) |
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| 摘 要： | 引入BZ-代数的理想概念,并证明了BZ-代数的同态基本定理。利用BZ-代数的BZ1-部分,证明了此BZ1-部分是子代数又是理想,且其商代数是群逆BZ-代数。最后给出BZ-代数的群逆理想的概念,借此给出BZ-代数成为群逆BZ-代数和商代数成为群逆BZ-代数的充要条件。
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| 关 键 词： | 理想 同态 同态定理 群逆理想 群逆BZ-代数 BZ-代数 |
Ideals and Homomorphism Theorems of BZ-Algebras |
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| Ye Reifen. Ideals and Homomorphism Theorems of BZ-Algebras[J]. Journal of East China University of Science and Technology, 1993, 0(6) |
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| Authors: | Ye Reifen |
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| Abstract: | The ideal and the anti-grouped ideal of BZ-algebra were introduced and the homomorphism theorem of BZ-algebras was proved. Furthermore some necessary and suffi cient conditions that a BZ-algebra is anti-grouped BZ-algebra and a ideal of BZ-algebra is anti-grouped ideal were gived. |
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| Keywords: | ideal homomorphism homomorphism theorem anti-grouped ideal antigrouped BZ-algebra BZ-algebra |
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