\((G,\phi)\)-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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| Дата: | 2017 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2017
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/283 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-283 |
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admjournalluguniveduua-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 |
| baseUrl_str |
|
| datestamp_date |
2017-10-11T02:03:37Z |
| 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 |
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AT albuquerquehelenamariamamede gphicrossedproductongphiquasiassociativealgebras AT barreiromariaelisabetefelix gphicrossedproductongphiquasiassociativealgebras AT delgadojosemariasanchez gphicrossedproductongphiquasiassociativealgebras |
| first_indexed |
2025-12-02T15:35:52Z |
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2025-12-02T15:35:52Z |
| _version_ |
1850411321636421632 |