| 范畴中态射集的加权减序 |
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| 引用本文： | 岑建苗. 范畴中态射集的加权减序[J]. 浙江大学学报(理学版), 2005, 32(6): 601-604,610 |
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| 作者姓名： | 岑建苗 |
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| 作者单位： | 宁波大学,数学系,浙江,宁波,315211 |
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| 摘 要： | 利用态射的加权广义逆,引进并讨论态射集中的加权减序和加权星序.给出了态射集中的加权减序的一些刻画和性质以及加权减序和加权星序之间的关系.加权减序和加权星序都是态射集中的新的偏序.所得结果均可应用于矩阵理论中.
关键词：态射;加权广义逆;加权减序;加权星序
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| 关 键 词： | 态射 加权广义逆 加权减序 加权星序 |
| 文章编号： | 1008-9497（2005）06-601-04 |
| 收稿时间： | 2004-05-17 |
| 修稿时间： | 2004-05-17 |
Weighted minus ordering of morphism set in category |
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| CEN Jian-miao. Weighted minus ordering of morphism set in category[J]. Journal of Zhejiang University(Sciences Edition), 2005, 32(6): 601-604,610 |
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| Authors: | CEN Jian-miao |
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| Affiliation: | Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| Abstract: | By using the weighted generalized inverses of morphisms, the weighted minus ordering and the weighted star ordering of morphism set in a category are introduced and discussed. Some characterizations and properties of the weighted minus ordering in morphism set are given. The relations between the weighted minus ordering and the weighted star ordering are discussed. The weighted minus ordering and the weighted star ordering are both new partial ordering in morphism set. The obtained results can be all applied to the matrix theory. |
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| Keywords: | morphism weighted generalized inverse weighted minus ordering weighted star ordering |
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