| 在环面同态作用下零维理想的性质 |
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| 引用本文： | 刘卫江,冯果忱. 在环面同态作用下零维理想的性质[J]. 数学杂志, 2005, 25(5): 499-506 |
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| 作者姓名： | 刘卫江 冯果忱 |
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| 作者单位： | 1. 渤海大学信息科学与工程学院,辽宁,锦州,121003
2. 吉林大学数学研究所,吉林,长春,130023 |
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| 基金项目： | The National Natural Science Foundation of China （10071031）; National 973 Project and the Scientific Research Project of Institute of Higher Education of Liaoning Provience（2021401161） |
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| 摘 要： | 本文以矩阵变换和整理论为工具，研究了在环面同态作用下零维理想的性质，证明了零维理想的环面同态矩阵是满秩的，并且刻画了零维理想在环面作用下的对应关系．
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| 关 键 词： | 零维理想 环面理想 半群代数 |
| 文章编号： | 0255-7797（2005）05-0499-08 |
| 收稿时间： | 2003-05-12 |
| 修稿时间： | 2003-05-122004-03-25 |
PROPERTIES OF A ZERO-DIMENSIONAL IDEAL UNDER TORIC HOMOMORPHISMS |
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| LIU Wei-jiang,FENG Guo-chen. PROPERTIES OF A ZERO-DIMENSIONAL IDEAL UNDER TORIC HOMOMORPHISMS[J]. Journal of Mathematics, 2005, 25(5): 499-506 |
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| Authors: | LIU Wei-jiang FENG Guo-chen |
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| Affiliation: | 1. School of Information Science and Engineering, Bohai University, Jinzhou 121003, China;2. Institute of Mathematics, Jilin University, Changchun 130023,China |
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| Abstract: | In this paper, we discuss properties of a zero-dimensional ideal under toric homomorphisms by applying matrix operation and integrality theory. We prove the toric homomorphism matrix of a zero-dimensional ideal is a full rank matrix, and describe the relation between zero-dimensional ideals under toric homomorphisms. |
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| Keywords: | zero-dimensional ideal toric ideal semigroup algebra |
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