On Commutativity Degree of Crossed Modules
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 713
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we define and study the notion of commutativity degree of finite crossed modules. We shall state some results concerning commutativity degree of crossed modules and obtain some upper and lower bounds for commutativity degree of finite crossed modules. Finally we show that, if two crossed modules are isoclinic, then they have the same commutativity degree.
Classification :
20E34, 20N99, 18B99
Keywords: crossed module, commutativity degree, isoclinism
Keywords: crossed module, commutativity degree, isoclinism
@article{KJM_2024_48_5_a4,
author = {Somayeh Amini and Shahram Heidarian and Farhad Khaksar Haghani},
title = {On {Commutativity} {Degree} of {Crossed} {Modules}},
journal = {Kragujevac Journal of Mathematics},
pages = {713 },
publisher = {mathdoc},
volume = {48},
number = {5},
year = {2024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a4/}
}
TY - JOUR AU - Somayeh Amini AU - Shahram Heidarian AU - Farhad Khaksar Haghani TI - On Commutativity Degree of Crossed Modules JO - Kragujevac Journal of Mathematics PY - 2024 SP - 713 VL - 48 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a4/ LA - en ID - KJM_2024_48_5_a4 ER -
Somayeh Amini; Shahram Heidarian; Farhad Khaksar Haghani. On Commutativity Degree of Crossed Modules. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 713 . http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a4/