塔形阵与塔形代数 |
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引用本文: | 盛中平 吕显瑞. 塔形阵与塔形代数[J]. 东北师大学报(自然科学版), 1999, 0(1): 19-22 |
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作者姓名: | 盛中平 吕显瑞 |
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作者单位: | [1]东北师范大学数学系 [2]吉林大学数学系 |
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摘 要: | 在有单元元交换环上引进了一类特殊矩阵,称之为塔形阵。研究闻塔形阵的性质,证明了全体塔形阵是环上交换代数,同时给出了塔形阵之积及逆的算法,并给出了塔形代数的概念及实例。
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关 键 词: | 交换环 塔形阵 塔形代数 交换代数 乘积 |
Tower Matrix and Tower Algebra |
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Abstract: | In this paper, on the commutative ring with identity,it defines the tower matrix, studies its properties, gives the algorithms of their product and inverse, and proves that all the tower matrices form a commutative algebra on the ring. At last,It gives a new concept, the tower algebra, and provide some corresponding examples. |
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Keywords: | commutative ring tower matrix tower algebra |
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