A representation theorem for integral rigs and its applications to residuated lattices

被引：6
|
作者：
Castiglioni, J. L.
Menni, M. [1 ]
Zuluaga Botero, W. J.
机构：
[1] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 10期
关键词：
MV-ALGEBRAS; RINGS;
D O I：
10.1016/j.jpaa.2016.04.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalize the Dubuc Poveda representation theorem for MV-algebras so that it applies to other algebraic categories of residuated join-semilattices. In particular, as a corollary, we obtain a representation result for pre-linear residuated join-semilattices in terms of totally ordered fibers. The main result is analogous to the Zariski representation of (commutative) rings and it is proved using tools from topos theory. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：3533 / 3566
页数：34
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