Amalgams of finite inverse semigroups

被引：13

作者：

Cherubini, A

Meakin, J

Piochi, B

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

[3] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

JOURNAL OF ALGEBRA | 2005年 / 285卷 / 02期

基金：

美国国家科学基金会;

关键词：

word problem; semigroups amalgams; inverse semigroups; Schutzenberger graph;

D O I：

10.1016/j.jalgebra.2004.12.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the word problem is decidable for an amalgamated free product of finite inverse semigroups (in the category of inverse semigroups). This is in contrast to a recent result of M. Sapir that shows that the word problem for amalgamated free products of finite semigroups (in the category of semigroups) is in general undecidable. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：706 / 725

页数：20

共 50 条

[41] On bases of identities of finite inverse semigroups with solvable subgroups
Jiri Kad’ourek
Semigroup Forum, 2003, 67 : 317 - 343
[42] On bases of identities of finite inverse semigroups with solvable subgroups
Kad'ourek, J
SEMIGROUP FORUM, 2003, 67 (03) : 317 - 343
[43] On finite-dimensional representations of compact inverse semigroups
Wadii Hajji
Benjamin Steinberg
David Handelman
Semigroup Forum, 2013, 87 : 497 - 508
[44] Semigroup closures of finite rank symmetric inverse semigroups
Gutik, Oleg
Lawson, Jimmie
Repovs, Dusan
SEMIGROUP FORUM, 2009, 78 (02) : 326 - 336
[45] DIRECT PRODUCTS OF FINITE MONOGENIC INVERSE-SEMIGROUPS
TRUEMAN, DC
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1982, 92 : 301 - 317
[46] Semigroup closures of finite rank symmetric inverse semigroups
Oleg Gutik
Jimmie Lawson
Dušan Repovš
Semigroup Forum, 2009, 78
[47] EMBEDDING INVERSE SEMIGROUPS IN BISIMPLE INVERSE SEMIGROUPS
REILLY, NR
QUARTERLY JOURNAL OF MATHEMATICS, 1965, 16 (62): : 183 - &
[48] SELF-INJECTIVE SEMIGROUP RINGS FOR FINITE INVERSE SEMIGROUPS
WENGER, R
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (01) : 213 - &
[49] On finite presentations of inverse semigroups with zero having polynomial growth
Shneerson, L. M.
Easdown, D.
SEMIGROUP FORUM, 2019, 99 (02) : 391 - 446
[50] Products of quasi-idempotents in finite symmetric inverse semigroups
Garba, G. U.
Imam, A. T.
SEMIGROUP FORUM, 2016, 92 (03) : 645 - 658

← 1 2 3 4 5 →