Deformations of compatible Hom-mock-Lie algebras

In this paper, we study Hom-mock-Lie algebras as a twisted version of mock-Lie algebras. Also we consider a pair of Hom-mock-Lie algebras structures satisfying that any linear combination of the two Hom-mock-Lie structures is still a Hom-mock-Lie structure called compatible Hom-mock-Lie algebras and...

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Date:	2025
Main Authors:	Benali, Karima, Chtioui, Taoufik, Hajjaji, Atef, Mabrouk, Sami
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2025
Subjects:	Hom-mock-Lie algebra compatible Hom-anti-associative algebra compatible Hom-mock-Lie algebra representation deformation cohomology 17B10 17A30 17B56,13D03 13D10
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	admjournalluguniveduua-article-2074
record_format	ojs
spelling	admjournalluguniveduua-article-20742025-04-13T15:32:01Z Deformations of compatible Hom-mock-Lie algebras Benali, Karima Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Hom-mock-Lie algebra, compatible Hom-anti-associative algebra, compatible Hom-mock-Lie algebra, representation, deformation, cohomology 17B10, 17A30, 17B56,13D03 , 13D10 In this paper, we study Hom-mock-Lie algebras as a twisted version of mock-Lie algebras. Also we consider a pair of Hom-mock-Lie algebras structures satisfying that any linear combination of the two Hom-mock-Lie structures is still a Hom-mock-Lie structure called compatible Hom-mock-Lie algebras and exhibit some related results. Next, we introduce the notion of representation of a compatible Hom-mock-Lie algebra. Finally, we study linear deformations of a compatible Hom-mock-Lie algebra. Lugansk National Taras Shevchenko University 2025-04-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074 10.12958/adm2074 Algebra and Discrete Mathematics; Vol 39, No 1 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2074/1062 Copyright (c) 2025 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2025-04-13T15:32:01Z
collection	OJS
language	English
topic	Hom-mock-Lie algebra compatible Hom-anti-associative algebra compatible Hom-mock-Lie algebra representation deformation cohomology 17B10 17A30 17B56,13D03 13D10
spellingShingle	Hom-mock-Lie algebra compatible Hom-anti-associative algebra compatible Hom-mock-Lie algebra representation deformation cohomology 17B10 17A30 17B56,13D03 13D10 Benali, Karima Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami Deformations of compatible Hom-mock-Lie algebras
topic_facet	Hom-mock-Lie algebra compatible Hom-anti-associative algebra compatible Hom-mock-Lie algebra representation deformation cohomology 17B10 17A30 17B56,13D03 13D10
format	Article
author	Benali, Karima Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami
author_facet	Benali, Karima Chtioui, Taoufik Hajjaji, Atef Mabrouk, Sami
author_sort	Benali, Karima
title	Deformations of compatible Hom-mock-Lie algebras
title_short	Deformations of compatible Hom-mock-Lie algebras
title_full	Deformations of compatible Hom-mock-Lie algebras
title_fullStr	Deformations of compatible Hom-mock-Lie algebras
title_full_unstemmed	Deformations of compatible Hom-mock-Lie algebras
title_sort	deformations of compatible hom-mock-lie algebras
description	In this paper, we study Hom-mock-Lie algebras as a twisted version of mock-Lie algebras. Also we consider a pair of Hom-mock-Lie algebras structures satisfying that any linear combination of the two Hom-mock-Lie structures is still a Hom-mock-Lie structure called compatible Hom-mock-Lie algebras and exhibit some related results. Next, we introduce the notion of representation of a compatible Hom-mock-Lie algebra. Finally, we study linear deformations of a compatible Hom-mock-Lie algebra.
publisher	Lugansk National Taras Shevchenko University
publishDate	2025
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074
work_keys_str_mv	AT benalikarima deformationsofcompatiblehommockliealgebras AT chtiouitaoufik deformationsofcompatiblehommockliealgebras AT hajjajiatef deformationsofcompatiblehommockliealgebras AT mabrouksami deformationsofcompatiblehommockliealgebras
first_indexed	2025-12-02T15:30:49Z
last_indexed	2025-12-02T15:30:49Z
_version_	1850412219164000256

Deformations of compatible Hom-mock-Lie algebras

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