Geodesic
Nonexistence of Idempotent Means on Free Binary Systems
Canadian mathematical bulletin, Tome 62 (2019) no. 3, pp. 577-581

Voir la notice de l'article provenant de la source Cambridge

DOI

Free binary systems are shown not to admit idempotent means. This refutes a conjecture of the author. It is also shown that the extension of Hindman’s theorem to nonassociative binary systems formulated and conjectured by the author is false.
DOI : 10.4153/CMB-2018-038-5
Mots-clés : amenability, binary system, Ellis’s Lemma, idempotent mean, Hindman’s Theorem, magma, nonassociative, Thompson’s group 
Moore, Justin Tatch. Nonexistence of Idempotent Means on Free Binary Systems. Canadian mathematical bulletin, Tome 62 (2019) no. 3, pp. 577-581. doi: 10.4153/CMB-2018-038-5
@article{10_4153_CMB_2018_038_5,
     author = {Moore, Justin Tatch},
     title = {Nonexistence of {Idempotent} {Means} on {Free} {Binary} {Systems}},
     journal = {Canadian mathematical bulletin},
     pages = {577--581},
     year = {2019},
     volume = {62},
     number = {3},
     doi = {10.4153/CMB-2018-038-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-038-5/}
}
TY  - JOUR
AU  - Moore, Justin Tatch
TI  - Nonexistence of Idempotent Means on Free Binary Systems
JO  - Canadian mathematical bulletin
PY  - 2019
SP  - 577
EP  - 581
VL  - 62
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-038-5/
DO  - 10.4153/CMB-2018-038-5
ID  - 10_4153_CMB_2018_038_5
ER  - 
%0 Journal Article
%A Moore, Justin Tatch
%T Nonexistence of Idempotent Means on Free Binary Systems
%J Canadian mathematical bulletin
%D 2019
%P 577-581
%V 62
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-038-5/
%R 10.4153/CMB-2018-038-5
%F 10_4153_CMB_2018_038_5

Cité par Sources :