Canonicity in subvarieties of BL-algebras

被引：0
|
作者：
Manuela Busaniche
Leonardo Manuel Cabrer
机构：
[1] CONICET-UNL,Instituto de Matemática Aplicada del Litoral
[2] Universidad Nacional del Centro, FIQ
[3] CONICET,Departamento de Matemática, Facultad de Ciencias Exactas
来源：
Algebra universalis | 2009年 / 62卷
关键词：
03G10; 06B23; 03G25; 08B15; BL-algebras; canonical extensions; posets; Wajsberg hoops;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that every subvariety of BL-algebras which is not finitely generated is not σ-canonical. We also prove π-canonicity for an infinite family of subvarieties of BL-algebras that are not finitely generated. To do so we study the behavior of canonical extensions of ordered sums of posets.
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页码：375 / 397
页数：22
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