SOME REMARKS ON DIVISIBLE POLYHEDRAL MV-ALGEBRAS

被引：0
|
作者：
Lapenta, Serafina [1 ]
机构：
[1] Univ Salerno, Dept Math, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy
来源：
MATHEMATICA SLOVACA | 2020年 / 70卷 / 01期
关键词：
polyhedral MV-algebras; DMV-algebras; Riesz MV-algebras; tensor product; amalgamation; Luka-siewicz logic; MV-algebras; LUKASIEWICZ LOGIC;
D O I：
10.1515/ms-2017-0330
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Building on similar notions for MV-algebras, polyhedral DMV-algebras are defined and investigated. For such algebras dualities with suitable categories of polyhedra are established, and the relation with finitely presented Riesz MV-algebras is investigated. Via hull-functors, finite products are interpreted in terms of hom-functors, and categories of polyhedral MV-algebras, polyhedral DMV-algebras and finitely presented Riesz MV-algebras are linked together. Moreover, the amalgamation property is proved for finitely presented DMV-algebras and Riesz MV-algebras, and for polyhedral DMV-algebras. (C) 2020 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：51 / 60
页数：10
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