关于半直积和圈积为矩形群的一些研究 |
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引用本文: | 王德胜 程新民. 关于半直积和圈积为矩形群的一些研究[J]. 山东师范大学学报(自然科学版), 1994, 9(1): 11-13 |
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作者姓名: | 王德胜 程新民 |
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作者单位: | 山东师范大学数学系,山东潍坊市潍城区教师进修学校 |
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摘 要: | 给出了两个半群的半直积和圈积为矩形群的充要条件。并证明了半直积的最大左群同态象同构于各自最大左群同态象的半直积。
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关 键 词: | 矩形群 半直积 圈积 半群 |
ON THE SEMIDIRECT AND WREATH PRODUCTS OF TWO MONOIEDS TO BE A RECTANGULAR GROUPS |
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Abstract: | This paper gave a necessary and sufficient condition for the semidi-rect and wreath products of two semigroups to be a rectanguiar group and proved that the maximum left group homomorphic image of the semidirect product was just the semidirect product of their maximum left group homomor- phic images. |
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Keywords: | Rectangular group Semidirect Product Wreath Product |
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