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On kth-Order Bernstein Algebras
https://doi.org/10.14993/00000431
https://doi.org/10.14993/000004316480e706-9894-4b82-9650-7aada9188d73
| 名前 / ファイル | ライセンス | アクション |
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P01-06.pdf (288.4 kB)
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| アイテムタイプ | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
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| 公開日 | 2009-07-22 | |||||||||
| タイトル | ||||||||||
| タイトル | On kth-Order Bernstein Algebras | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| ID登録 | ||||||||||
| ID登録 | 10.14993/00000431 | |||||||||
| ID登録タイプ | JaLC | |||||||||
| 著者 |
宮本, 紘平
× 宮本, 紘平
× Miyamoto, Kohei
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| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | Our purpose is to study kth-order Bernstein algebras. Very little is known about them. As D.A. Towers and K. Bowman have pointed out, some classes of power associative kth-order Bernstein algebras, especially the class of kth-order Bernstein-Jordan algebras, seem to play an important role in the study of kth-order Bernstein algebras. Towers and Bowman have found the necessary and sufficient condition for a kth-order Bernstein algebra to be power associative and given the necessary and sufficient condition for a power associative kth- order Bernstein algebra to be Jordan. In this paper we shall attempt to improve those theorems. The main results are Theorem 1 and Theorem 2, by which the distinction between the notiont of the power associative kth-order Bernstein algebra and one of the kth-order Bernstein Jordan algebra may be more clear. | |||||||||
| 書誌情報 |
武庫川女子大学紀要. 自然科学編 巻 51, p. 1-6, 発行日 2004-03-31 |
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| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0916-3123 | |||||||||
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| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AN10187277 | |||||||||
