ON FREE ALGEBRAS IN VARIETIES GENERATED BY ITERATED SEMIDIRECT PRODUCTS OF SEMILATTICES

被引：0

作者：

Horvath, Gabor ^{[1
]}

Katai-Urban, Kamilla ^{[2
]}

Pach, Peter Pal ^{[3
]}

Pluhar, Gabriella ^{[3
]}

Pongracz, Andras ^{[4
]}

Szabo, Csaba ^{[3
]}

机构：

[1] Univ Debrecen, Inst Math, H-4010 Debrecen, Hungary

[2] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

[3] Eotvos Lorand Univ, Dept Algebra & Number Theory, H-1117 Budapest, Hungary

[4] Cent European Univ, Budapest, Hungary

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2012年 / 22卷 / 07期

关键词：

Free spectra; semigroup; semilattice; semidirect product; FREE SPECTRUM; COMBINATORIAL;

D O I：

10.1142/S0218196712500634

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new solution of the word problem of free algebras in varieties generated by iterated semidirect products of semilattices. As a consequence, we provide asymptotical bounds for free spectra of these varieties. In particular, each finite R-trivial (and, dually, each finite L-trivial) semigroup has a free spectrum whose logarithm is bounded above by a polynomial function.

引用

页数：11

共 14 条

[1] ON ITERATED SEMIDIRECT PRODUCTS OF FINITE SEMILATTICES [J].