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.
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页码：2181 / 2206
页数：26
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