| Banach~*上代数的上理想与子上代数 |
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| 引用本文： | 周大强.Banach~*上代数的上理想与子上代数[J].武汉工业学院学报,1993(4). |
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| 作者姓名： | 周大强 |
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| 作者单位： | 武汉食品工业学院基础部 |
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| 摘 要： | 在文1]中定义上乘运算,半同态,从而定义了Banach~*上代数。本文进一步讨论Banach~*上代数的上理想与上子代数。将它们置于空间偶对中考虑,给出了C~*上代数A与其对偶B~*代数A~*(及C~*代数A与其对偶B~*上代数A~*)的上理想与子代数,上子代数与理想之间的对偶关系,进一步明确了在拓扑结构下这种代数结构的对称性。
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| 关 键 词： | 上理想 上子代数 理想 子代数 与偶对(A A)协调的拓扑 |
COIDEALS COSUBALGEBRAS IN BANACH~* COALGEBRA |
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| Zhou Daqiang.COIDEALS COSUBALGEBRAS IN BANACH~* COALGEBRA[J].Journal of Wuhan Polytechnic University,1993(4). |
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| Authors: | Zhou Daqiang |
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| Affiliation: | Basic Course Department |
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| Abstract: | Comultiplication and semihomomorphism were defined in 1],and then Banach* coalgebra was defined. In this paper,the coideals and cosubalgebras in Banach* coalgebra are futher discussed. And they are under the consideration a pair of space and it's dual. The coideal and subalgebra of A,C* coalgebra and those of A,B* algebra are given and B* algebra pairs up with A, C* coalgebra. Besides , the pairing relation between cosubalgebra and ideal is offered. Thus the symmetry among the previous algebra structures under the topology structure is further understood. |
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| Keywords: | coideal cosubalgebra ideal subagelbra topology compatible with dual (A A~*) |
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