Bogomolov Multiplier and Isoclinism of Lie Rings
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 extens...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Kashan
2023-12-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_114045_2b6ad35dc403805c84805a973938e3b0.pdf |
| _version_ | 1797364187158020096 |
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| author | Zeinab Araghi Rostani Mohsen Parvizi Peyman Niroomand |
| author_facet | Zeinab Araghi Rostani Mohsen Parvizi Peyman Niroomand |
| author_sort | Zeinab Araghi Rostani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T16:31:37Z |
| format | Article |
| id | doaj.art-caaea81355fc49acb31eac357a94733a |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-08T16:31:37Z |
| publishDate | 2023-12-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-caaea81355fc49acb31eac357a94733a2024-01-06T07:05:55ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652023-12-018432733510.22052/mir.2022.240335.1252114045Bogomolov Multiplier and Isoclinism of Lie RingsZeinab Araghi Rostani0Mohsen Parvizi1Peyman Niroomand2Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, I. R. IranDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, I. R. IranSchool of Mathematics and Computer Science, Damghan University, Damghan, I. R. IranIn 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.https://mir.kashanu.ac.ir/article_114045_2b6ad35dc403805c84805a973938e3b0.pdfisoclinismcurly exterior product${\tilde{b_0}}$-pairingbogomolov multipliercp extension |
| spellingShingle | Zeinab Araghi Rostani Mohsen Parvizi Peyman Niroomand Bogomolov Multiplier and Isoclinism of Lie Rings Mathematics Interdisciplinary Research isoclinism curly exterior product ${\tilde{b_0}}$-pairing bogomolov multiplier cp extension |
| title | Bogomolov Multiplier and Isoclinism of Lie Rings |
| title_full | Bogomolov Multiplier and Isoclinism of Lie Rings |
| title_fullStr | Bogomolov Multiplier and Isoclinism of Lie Rings |
| title_full_unstemmed | Bogomolov Multiplier and Isoclinism of Lie Rings |
| title_short | Bogomolov Multiplier and Isoclinism of Lie Rings |
| title_sort | bogomolov multiplier and isoclinism of lie rings |
| topic | isoclinism curly exterior product ${\tilde{b_0}}$-pairing bogomolov multiplier cp extension |
| url | https://mir.kashanu.ac.ir/article_114045_2b6ad35dc403805c84805a973938e3b0.pdf |
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