Title of article :
Bogomolov Multiplier and Isoclinism of Lie Rings
Author/Authors :
Araghi Rostani ، Zeinab Department of Pure Mathematics - Ferdowsi University of Mashhad , Parvizi ، Mohsen Department of Pure Mathematics - Ferdowsi University of Mashhad , Niroomand ، Peyman School of Mathematics and Computer Science - Damghan University
Abstract :
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 CE1 and CE2 are central extensions which are isoclinic, then CE2 is a CP extension if CE1 is so.
Keywords :
Isoclinism , Curly exterior product , B˜0 , pairing , Bogomolov multiplier , CP extension
Journal title :
Mathematics Interdisciplinary Research
Journal title :
Mathematics Interdisciplinary Research