| Nuclear C~*-代数中的三角子代数的根 |
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| 引用本文： | 纪培胜.Nuclear C~*-代数中的三角子代数的根[J].青岛大学学报(自然科学版),1999(2). |
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| 作者姓名： | 纪培胜 |
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| 作者单位： | 青岛大学数学系 |
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| 摘 要： | 设Ｂ是含Ｋｕｍｊｉａｎ意义的对角Ｄ的ＮｕｃｌｅａｒＣ＊－代数．Ａ是Ｂ中的三角子代数，本文讨论Ａ的各种根之间的关系．特别的，证明了Ａ的Ｊａｃｏｂｓｏｎ根等于Ａ的拓扑素根，拓扑原始根等于Ａ的素根的闭包．
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| 关 键 词： | 对角 三角子代数 理想 根 连接 |
RADICALS OF TRIANGULAR SUBALGEBRAS OF NUCLEAR C * ALGEBRAS WITH DIAGONALS |
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| Ji Feisheng.RADICALS OF TRIANGULAR SUBALGEBRAS OF NUCLEAR C * ALGEBRAS WITH DIAGONALS[J].Journal of Qingdao University(Natural Science Edition),1999(2). |
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| Authors: | Ji Feisheng |
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| Abstract: | Let A be a triangular subalgebra of nuclear C * algebra B with diagonal D in the sense of Kumjian. This paper discussed the relationship among the radicals of A. Particularly, it is proved that the Jacobson radical of A coincides with the topological prime redical of A, and the topological primal radical of A conincides with the closure of the prime radical of A. |
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| Keywords: | diagonal triangular subalgebra ideal radical link |
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