\((G,\phi)\)-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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| Datum: | 2017 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2017
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| Schlagworte: | |
| Online Zugang: | 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| Zusammenfassung: | 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. |
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