Bogomolov Multiplier and Isoclinism of Lie Rings

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Araghi Rostani Zeinab; Parvizi Mohsen; Niroomand Peyman

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Journal Paper

Paper Information

Journal: Mathematics Interdisciplinary Research Year:2023 | Volume:8 | Issue:4 Page(s): 327-335

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Title

Bogomolov Multiplier and Isoclinism of Lie Rings

Author(s)

Araghi Rostani Zeinab | Parvizi Mohsen | Niroomand Peyman | Issue Writer Certificate

Keywords

Isoclinism‎

‎Curly exterior product‎

‎${\tilde{B_0}}$-pairing‎

‎Bogomolov multiplier‎

‎CP extension

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 $CE_1$ and $CE_2$ are central extensions which are isoclinic‎, ‎then $CE_2$ is a CP extension if $CE_1$ is so‎.

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