| 关于 G.Birkhoff的两个问题(英) |
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| 引用本文： | 罗从文. 关于 G.Birkhoff的两个问题(英)[J]. 三峡大学学报(人文社会科学版), 1997, 0(3) |
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| 作者姓名： | 罗从文 |
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| 摘 要： | 以弱射影为工具，将Birkhoff的问题72和73推广到DeMorgan代数上，得到的主要结果为：1．DeMorgan代数的以任意同余理想为核的同余关系唯一的充要条件是此DeMorgan代数为弱可补的．2．DeMorgan代数的同余格为布尔代数的充要条件是此DeMorgan代数有限．
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| 关 键 词： | 弱射影 弱原子 素商 同余关系 极小商 |
ON THE TWO PROBLEMS OF G. BIRKHOFF |
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| Luo Congwen. ON THE TWO PROBLEMS OF G. BIRKHOFF[J]. Journal of China Three Gorges University(Humanities & Social Sciences), 1997, 0(3) |
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| Authors: | Luo Congwen |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper Characterizations of congruences of De Morgan aigebras are given by the notion of weak projectivity and from these we derivethe variety of completely distributive De morgan algebras whose congruencesare in a one-to-one correspondence with the congruence ideals and give anessary and sufficient condition that the congruence lattice is atomic' The result is then applied to characterize the De Morgan algebras with Boolean congruence lattices. |
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| Keywords: | and phrases - weak projectivity congruence ideal weak complemented minimal quotient. |
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