FINITELY AXIOMATIZABLE STRONGLY MINIMAL GROUPS

被引：2

作者：

Blossier, Thomas ^{[1
]}

Bouscaren, Elisabeth ^{[2
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, CNRS, UMR 5208, F-69622 Villeurbanne, France

[2] Univ Paris 11, CNRS, Dept Math Orsay, F-91405 Orsay, France

来源：

JOURNAL OF SYMBOLIC LOGIC | 2010年 / 75卷 / 01期

关键词：

ELIMINATION; QUANTIFIERS;

D O I：

10.2178/jsl/1264433908

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if G is a strongly minimal finitely axiomatizable group. the division ring of quasi-endomorphisms of G must be an infinite finitely presented ring.

引用

页码：25 / 50

页数：26

共 50 条

[1] Quasi-finitely axiomatizable nilpotent groups
Oger, F
Sabbagh, G
JOURNAL OF GROUP THEORY, 2006, 9 (01) : 95 - 106
[2] On the direct products of quasi-finitely axiomatizable groups
Lasserre, Clement
JOURNAL OF GROUP THEORY, 2015, 18 (03) : 435 - 453
[3] Quasi-finitely axiomatizable groups and groups which are prime models
Oger, F
JOURNAL OF GROUP THEORY, 2006, 9 (01) : 107 - 116
[4] Comparing quasi-finitely axiomatizable and prime groups
Nies, Andre
JOURNAL OF GROUP THEORY, 2007, 10 (03) : 347 - 361
[5] FINITELY AXIOMATIZABLE CATEGORICAL THEORIES
MAZOYER, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 281 (12): : 403 - 406
[6] THE NUMBER OF FINITELY AXIOMATIZABLE COMPLETIONS
ZAURBEKOV, SS
SIBERIAN MATHEMATICAL JOURNAL, 1991, 32 (01) : 141 - 145
[7] FINITELY AXIOMATIZABLE QUASIVARIETIES OF GRAPHS
CAICEDO, X
ALGEBRA UNIVERSALIS, 1995, 34 (02) : 314 - 321
[8] OPEN INDUCTION IS NOT FINITELY AXIOMATIZABLE
BOUGHATTAS, S
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1989, 308 (11): : 297 - 300
[9] NON SIGMA-N AXIOMATIZABLE ALMOST STRONGLY MINIMAL THEORIES
MARKER, D
JOURNAL OF SYMBOLIC LOGIC, 1989, 54 (03) : 921 - 927
[10] General Extensional Mereology is Finitely Axiomatizable
Hsing-chien Tsai
Studia Logica, 2018, 106 : 809 - 826

← 1 2 3 4 5 →