| R_0代数及其基本结构 |
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| 引用本文： | 程国胜,王国俊.R_0代数及其基本结构[J].数学物理学报(A辑),1999(Z1). |
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| 作者姓名： | 程国胜 王国俊 |
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| 作者单位： | 西安交通大学理学院!西安 710049(程国胜)，陕西师范大学数学研究所!西安 710062(王国俊) |
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| 摘 要： | 以Ｒ０－Ｌｉｎｄｅｎｂａｕｍ代数为背景，提出了较蕴涵格稍强的Ｒ０代数概念，在讨论了其基本性质的基础上给出了Ｒ０代数的两个等价系统，并从商代数的角度研究了Ｒｏ代数的基本结构．
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| 关 键 词： | Ro代数 等价系统 同余关系 商代数 |
R_0-algebra and Its Structure |
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| Cheng Guosheng.R_0-algebra and Its Structure[J].Acta Mathematica Scientia,1999(Z1). |
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| Authors: | Cheng Guosheng |
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| Abstract: | Based on R0 - Lindenbaum algebras, R0 - algebras, which are slightly stronger than implication lattice algebras, are proposed in this paper. After the discussion on their basic properties, two equivalent structural theorems of R0 - algebras are developed. Moreover, from the standpoint of quotient algebras, the basic structures of R0 - algebras are particularly investigated. |
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| Keywords: | R0 - algebra Equivalent system Congruent relation Quotient algebra |
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