Notes on Two-Sided Quantales

被引：0
|
作者：
Wang, Xi-juan [1 ,2 ]
He, Wei [3 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Lianyungang Teachers Coll, Lianyungang 222006, Peoples R China
[3] Nanjing Normal Univ, Sch Math & CS, Nanjing 210097, Peoples R China
来源：
QUANTITATIVE LOGIC AND SOFT COMPUTING 2010, VOL 2 | 2010年 / 82卷
基金：
中国国家自然科学基金;
关键词：
Two-sided quantales; *-semilattice; ideal; homomorphism;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
hi this paper, we show that a two-sided quantale is coherent if it is isomorphic to the quantale of ideals of a distributive two-sided *-semilattice. Thus quantale representations of distributive two-sided *-semilattices are obtained. We also show that the free two-sided quantale generated by a set exists. And then the category TQuant of two-sided quantales is an algebraic category.
引用
收藏
页码：745 / +
页数：2
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