The quantic conuclei on quantales
The quantic conuclei on quantales
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DOI：
10.1007/s00012-009-0005-3
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发表时间：
2009-08
影响因子：
0.6
通讯作者：
S. Han;Bin Zhao
中科院分区：
文献类型：
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作者：
S. Han;Bin Zhao
本文主要研究量子余核的一些性质。首先引入了理想余核的概念，给出了一个映射是理想余核的一个刻划。其次，研究了吉拉德Quantale上的量子核与量子余核之间的关系，在此基础上讨论了量子余核（核）到吉拉德Quantale的扩张以及这些扩张之间的关系。最后，给出了不含非平凡余核的Quantale的具体结构，并证明了无限Quantale的子Quantale个数是无穷的。
In this paper, the main purpose is to investigate some properties of quantic conuclei. Firstly, the concept of an ideal conucleus is introduced and a characterization for a map to be an ideal conucleus is given. Secondly, the relations between quantic nuclei and quantic conuclei are studied on Girard quantale, based on which, the extensions of quantic conuclei (nuclei) to a Girard quantale and the relations between those extensions are discussed. Finally, the concrete structure of quantale without non-trivial quantic conuclei is given and it is proved that the number of subquantales of an infinite quantale is infinite.