Bogomolov Multiplier and Isoclinism of Lie Rings
نویسندگان
1 Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, I. R. Iran
2 Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, I. R. Iran
3 School of Mathematics and Computer Science, Damghan University, Damghan, I. R. Iran
doi
10.22052/mir.2022.240335.1252چکیده
In the present paper it is shown that Bogomolov multipliers of isoclinic Lie rings are isomorphic. Also, we show that isoclinic finite Lie rings have isoclinic CP covers. Finally, it is proved that if $CE_1$ and $CE_2$ are central extensions which are isoclinic, then $CE_2$ is a CP extension if $CE_1$ is so.