Quasivarieties of idempotent semigroups

被引：3

作者：

Adams, ME ^{[1
]}

Dziobiak, W

机构：

[1] SUNY Albany, Dept Math, New Paltz, NY 12561 USA

[2] Univ Puerto Rico, Dept Math, Mayaguez, PR 00681 USA

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2003年 / 13卷 / 06期

关键词：

quasivariety; variety; idempotent semigroup; lattice of quasivarieties; Q-universal;

D O I：

10.1142/S0218196703001626

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the lattice L(B-d) of quasivarieties contained in the variety B-d of idempotent semigroups contains an isomorphic copy of the ideal lattice of a free lattice on omega free generators. This result shows that a problem of Petrich [19], which calls for a description of L(B-d), is much more complex than originally expected.

引用

页码：733 / 752

页数：20

共 50 条

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