A RELATIONSHIP BETWEEN THE CATEGORY OF CHAIN MV-ALGEBRAS AND A SUBCATEGORY OF ABELIAN GROUPS

被引：0

作者：

Pajoohesh, Homeira ^{[1
]}

机构：

[1] CUNY Medgar Evers Coll, Dept Math, Brooklyn, NY 11225 USA

来源：

MATHEMATICA SLOVACA | 2021年 / 71卷 / 04期

关键词：

MV-algebra; cyclic group; cyclically ordered group; LOGIC;

D O I：

10.1515/ms-2021-0037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The category of MV-algebras is equivalent to the category of abelian lattice ordered groups with strong units. In this article we introduce the category of circled abelian groups and prove that the category of chain MV-algebras is isomorphic with the category of chain circled abelian groups. In the last section we show that the category of chain MV-algebras is a subcategory of abelian cyclically ordered groups. (C) 2021 Mathematical Institute Slovak Academy of Sciences

引用

页码：1027 / 1045

页数：19

共 17 条

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