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| HAL : hal-00684967, version 1 |
| DOI : 10.1142/S0219498811005646 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Algebra and Its Applications 11, 2 (2012) 1250040 (12 p.) |
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| Linear Recurring Sequences over Noncommutative Rings |
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| Ahmed Cherchem 1Tarek Garici 1 |
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| (2012) |
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| Contrary to the commutative case, the set of linear recurring sequences with values in a module over a noncommutative ring is no more a module for the usual operations. We show the stability of these operations when the ring is a matrix ring or a division ring. In the case of a finite dimensional division ring over its center, we give an algorithm for the determination of a recurrence relation for the sum of two linear recurring sequences. |
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| 1 : | Université des Sciences et de la Technologie HOUARI BOUMEDIENE (USTHB) |
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Université des Sciences et de la Technologie Houari Boumediène |
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| 2 : | XLIM (XLIM) |
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CNRS : UMR7252 – Université de Limoges |
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| DMI |
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| Linear recurring sequences – matrices – noncommutative rings – Ore rings |
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| hal-00684967, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00684967 | |
| oai:hal.archives-ouvertes.fr:hal-00684967 | |
| Contributeur : Yolande Vieceli | |
| Soumis le : Mardi 3 Avril 2012, 15:55:39 | |
| Dernière modification le : Mercredi 9 Mai 2012, 17:26:10 | |
