RELATIVELY INHERENTLY NONFINITELY Q-BASED SEMIGROUPS

被引：0

作者：

Jackson, Marcel ^{[1
]}

Volkov, Mikhail ^{[2
]}

机构：

[1] La Trobe Univ, Dept Math & Stat, Bundoora, Vic 3086, Australia

[2] Ural State Univ, Dept Math, Ekaterinburg 620083, Russia

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 04期

基金：

澳大利亚研究理事会; 俄罗斯基础研究基金会;

关键词：

Quasi-identity; quasivariety; universal class; semigroup; injective map; order preserving map; finite q-basis property; inherently nonfinitely q-based semigroup relative to a class; 3-nilpotent semigroup; homotopy embedding; ORDER-PRESERVING MAPPINGS; FINITE BASIS PROBLEM; QUASIVARIETIES; ALGEBRAS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We Prove that every semigroup S Whose quasivariety contains a 3-nilpotent semigroup or a semigroup of index more than 2 has no finite basis for its quasi-identities provided that one of the following properties holds: S is finite; S has a faithful representation by injective partial maps on a set; S has a faithful representation by order preserving maps on a chain. As a corollary it is shown that, in an asymptotic sense, almost all finite semi-groups and finite monoids admit no finite basis for their quasi-identities.

引用

页码：2181 / 2206

页数：26

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