Reticulation of a quantale, pure elements and new transfer properties

Georgescu G.

首页> 外文期刊>Fuzzy sets and systems >Reticulation of a quantale, pure elements and new transfer properties

【24h】

Reticulation of a quantale, pure elements and new transfer properties

机译：Reticulation of a quantale, pure elements and new transfer properties

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

? 2021 Elsevier B.V.We know from a previous paper that the reticulation of a coherent quantale A is a bounded distributive lattice L(A) whose prime spectrum is homeomorphic to m-prime spectrum of A. This paper studies how the reticulation can be used for transferring some properties of bounded distributive lattices to quantales and vice versa. We shall illustrate this thesis by proving several results on the pure and w–pure elements of the quantale A by means of the reticulation L(A). In particular, we shall investigate how the properties of σ–ideals of L(A) can be transferred to pure and w–pure elements of A. Then the obtained transfer properties are used to prove new algebraic and topological results and characterization theorems for some important classes of quantales: normal quantales, mp–quantales, PF–quantales, purified quantales and PP–quantales.

著录项

来源
《Fuzzy sets and systems》 |2022年第15期|196-221|共26页
作者
Georgescu G.;
展开▼
作者单位

University of Bucharest Faculty of Mathematics and Computer Science;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类
关键词
Coherent quantale; mp–quantales; Normal quantales; PF–quantales; PP–quantales; Pure and w–pure elements; Purified quantales; Reticulation;

Reticulation of a quantale, pure elements and new transfer properties

摘要

著录项

相关主题

期刊订阅