On idempotent modifications of MV-algebras

被引：1

作者：

Jakubik, Jan ^{[1
]}

机构：

[1] Matematicky Ustav SAV, Kosice 04001, Slovakia

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2007年 / 57卷 / 01期

关键词：

MV-algebra; idempotent modification; subdirect reducibility;

D O I：

10.1007/s10587-007-0058-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of idempotent modification of an algebra was introduced by Jezek. He proved that the idempotent modification of a group is subdirectly irreducible. For an MV-algebra.ot we denote by A', A, A and l(A) the idempotent modification, the underlying set or the underlying lattice of d, respectively. In the present paper we prove that if A is semisimple and l(A) is a chain, then is subdirectly irreducible. We deal also with a question of Jezek concerning varieties of algebras.

引用

页码：243 / 252

页数：10

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