$$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras$

$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras

The notions of $(G,\phi)$-crossed product and quasicrossed system are introduced in the setting of $(G,\phi)$-quasiassociative algebras, i.e., algebras endowed with a grading by a group $G$, satisfying a ``quasiassociative'' law. It is presented two equivalence relations, one for qua...

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Date:	2017
Main Authors:	Albuquerque, Helena María Mamede, Barreiro, María Elisabete Félix, Delgado, José María Sánchez
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2017
Subjects:	graded quasialgebras quasicrossed product group algebras twisted group algebras 17D99; 16S35
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/283
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	oai:ojs.admjournal.luguniv.edu.ua:article-283
record_format	ojs
spelling	oai:ojs.admjournal.luguniv.edu.ua:article-2832017-10-11T02:03:37Z $(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras Albuquerque, Helena María Mamede Barreiro, María Elisabete Félix Delgado, José María Sánchez graded quasialgebras, quasicrossed product, group algebras, twisted group algebras 17D99; 16S35 The notions of $(G,\phi)$-crossed product and quasicrossed system are introduced in the setting of $(G,\phi)$-quasiassociative algebras, i.e., algebras endowed with a grading by a group $G$, satisfying a ``quasiassociative'' law. It is presented two equivalence relations, one for quasicrossed systems and another for $(G,\phi)$-crossed products. Also the notion of graded-bimodule in order to study simple $(G,\phi)$-crossed products is studied. Lugansk National Taras Shevchenko University 2017-10-07 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/283 Algebra and Discrete Mathematics; Vol 24, No 1 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/283/pdf Copyright (c) 2017 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
collection	OJS
language	English
topic	graded quasialgebras quasicrossed product group algebras twisted group algebras 17D99; 16S35
spellingShingle	graded quasialgebras quasicrossed product group algebras twisted group algebras 17D99; 16S35 Albuquerque, Helena María Mamede Barreiro, María Elisabete Félix Delgado, José María Sánchez $(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras
topic_facet	graded quasialgebras quasicrossed product group algebras twisted group algebras 17D99; 16S35
format	Article
author	Albuquerque, Helena María Mamede Barreiro, María Elisabete Félix Delgado, José María Sánchez
author_facet	Albuquerque, Helena María Mamede Barreiro, María Elisabete Félix Delgado, José María Sánchez
author_sort	Albuquerque, Helena María Mamede
title	$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras
title_short	$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras
title_full	$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras
title_fullStr	$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras
title_full_unstemmed	$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras
title_sort	$(g,\phi)$-crossed product on $(g,\phi)$-quasiassociative algebras
description	The notions of $(G,\phi)$-crossed product and quasicrossed system are introduced in the setting of $(G,\phi)$-quasiassociative algebras, i.e., algebras endowed with a grading by a group $G$, satisfying a ``quasiassociative'' law. It is presented two equivalence relations, one for quasicrossed systems and another for $(G,\phi)$-crossed products. Also the notion of graded-bimodule in order to study simple $(G,\phi)$-crossed products is studied.
publisher	Lugansk National Taras Shevchenko University
publishDate	2017
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/283
work_keys_str_mv	AT albuquerquehelenamariamamede gphicrossedproductongphiquasiassociativealgebras AT barreiromariaelisabetefelix gphicrossedproductongphiquasiassociativealgebras AT delgadojosemariasanchez gphicrossedproductongphiquasiassociativealgebras
first_indexed	2024-04-12T06:27:25Z
last_indexed	2024-04-12T06:27:25Z
_version_	1796109249412071424

\((G,\phi)\)-crossed product on \((G,\phi)\)-quasiassociative algebras

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