| 范畴中态射集减序的刻划 |
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| 引用本文： | 庄瓦金.范畴中态射集减序的刻划[J].数学学报,1994,37(2):172-179. |
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| 作者姓名： | 庄瓦金 |
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| 作者单位： | 漳州师范学院数学系 |
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| 摘 要： | 本文研究了范畴中态射集减序的刻划问题，其主要结果是：（１）证得一般范畴情形减序的十四种刻划；（２）将Ｍｉｔｒａ、Ｂａｋｓａｌａｒｙ等人的利用（１）－逆、（１，２）－逆的包含关系及平行和来刻划复矩阵减序的结果推广到素性预加法范畴与带对合的正性预加法范畴中；（３）给出了１９８０年Ｈａｒｔｗｉｇ关于半群减序刻划的一个反例，因此否定了这个刻画．
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| 关 键 词： | 范畴，正则态射，广义逆，减序 |
| 收稿时间： | 1991-9-11 |
Characterizations of the Minus Partial Order of Morphism Set in a Category |
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| Zhuang Wajin.Characterizations of the Minus Partial Order of Morphism Set in a Category[J].Acta Mathematica Sinica,1994,37(2):172-179. |
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| Authors: | Zhuang Wajin |
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| Institution: | Zhuang Wajin (Department of Mathematics Zhangzhou Normal College, Fujian 363000, China) |
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| Abstract: | This paper study the problem for the chaxacteriztions of the minus partial order ofmorphism set in a category, its main results are: 1. prove fourteen characterizations of the minuspartial order in a general category ; 2. the results that using inclusion relation of (1)-inverse,(1,2)-inverse and parallel sum characterized the minus partial order of a complex matrix by category; 3.give the inverse example for proposition 1(ix) of 5], then negate the Hartwig's this characterization. |
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| Keywords: | category regular morphism generalized inverse minus partial order |
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