| 非良基集与共代数理论研究 |
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| 引用本文： | 王湘云.非良基集与共代数理论研究[J].华北水利水电学院学报(社会科学版),2010(6):15-17. |
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| 作者姓名： | 王湘云 |
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| 作者单位： | 南开大学,天津300071 |
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| 摘 要： | 作为经典集合论的扩张,非良基集合论具有更为丰富的集合全域。它能够提供一套完备的工具刻画现实世界中众多的循环现象。共代数是代数的对偶概念。在非良基的范畴下,使用共代数方法,可以方便地构造各种循环现象在集合理论上的模型。因此,对非良基集及共代数理论的研究极具吸引力。
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| 关 键 词： | 非良基集 非良基公理 共代数 |
Research on Non-well-founded Sets and Theory of Coalgebra |
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| WANG Xiang-yun.Research on Non-well-founded Sets and Theory of Coalgebra[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power(Social Sciences Edition),2010(6):15-17. |
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| Authors: | WANG Xiang-yun |
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| Institution: | WANG Xiang-yun ( Nankai University, Tianjin 300071, China ) |
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| Abstract: | Non-well-founded set theory is the extension of classical set theory, which has abundant universe. So it can provide a set of perfect appliance to characterize various kinds of circular phenomena in the real world. Coalgebra is a dual notion of algebra. In the non-well-founded categories, by using coalgebric methods, we can construct set theoretical models of all kinds of circular phenomena. Thus, researches on non-well-founded sets and theory of coalgebra are of great academic value. |
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| Keywords: | Non-well-founded sets Anti-foundation axiom Coalgebra |
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