| 拟正则双序集用矩形双序集的余扩张 |
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| 引用本文： | 喻秉钧.拟正则双序集用矩形双序集的余扩张[J].数学学报,1999,42(4):671-682. |
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| 作者姓名： | 喻秉钧 |
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| 作者单位： | 四川师范大学数学系,成都,610066 |
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| 基金项目： | 国家自然科学基金!19671063，四川省教委重点科研基金 |
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| 摘 要： | 称双序集E为双序集F用矩形双序集的余扩张，若存在满双序集态射θ：E→F，使对每个α∈F，αθ－1是E的矩形双序子集．本文讨论了拟正则双序集的这种余扩张的性质，给出了它们的结构．作为应用，证明了拟正则的硬双序集实为正则双序集．
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| 关 键 词： | 拟正则双序集 矩形双序集 双序集态射 余扩张 |
| 修稿时间： | :1998-02-0 |
Coextensions of Quasi-regular Biordered Sets by Rectangular Biordered Sets |
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| Yu Bingjun.Coextensions of Quasi-regular Biordered Sets by Rectangular Biordered Sets[J].Acta Mathematica Sinica,1999,42(4):671-682. |
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| Authors: | Yu Bingjun |
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| Institution: | Yu Bingjun (Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China)(Fax: (028)4790994) |
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| Abstract: | Abiordered set E is called a coextension of a biordered set F by rectangularbiordered sets, if there exists a surjective biordered set morphism θ: E → F suchthat, for each α∈F, αθ-1 is a rectangular biordered subset of E. In this paper,suchcoextensions for quasi-regular biordered sets are discussed, a construction of them isgiven. As an application, it is proved that quasi-regular and solid biordered sets are infact regular. |
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| Keywords: | Quasi-regular biordered set Rectangular biordered set Biordered set morphism Coextension |
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