SPLIT EXACT SEQUENCES OF FINITE MTL-CHAINS

被引：1

作者：

Castiglioni, J. L. ^{[1
,2
]}

Zuluaga Botero, W. J. ^{[3
]}

机构：

[1] Univ Nacl La Plata, CONICET, 50 & 115, RA-1900 La Plata, Argentina

[2] Univ Nacl La Plata, Dept Matemat, Fac Ciencias Exactas, 50 & 115, RA-1900 La Plata, Argentina

[3] Univ Nacl Ctr Prov Buenos Aires, Fac Ciencias Exactas, Dept Matemat, Pinto 399, RA-7000 Tandil, Argentina

来源：

REVISTA DE LA UNION MATEMATICA ARGENTINA | 2021年 / 62卷 / 02期

关键词：

VARIETIES;

D O I：

10.33044/revuma.1787

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to presenting ordinal sums of MTL-chains as a particular case of split short exact sequences of finite chains in the category of semihoops. This module theoretical approach will allows us to prove, in a very elementary way, that every finite locally unital MTL-chain can be decomposed as an ordinal sum of archimedean MTL-chains. Furthermore, we propose the study of MTL-chain extensions and we show that ordinal sums of locally unital MTL-chains are a particular case of these.

引用

页码：295 / 304

页数：10

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