| 半群张量积的极大群和右群同态象 |
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| 引用本文： | 王德胜.半群张量积的极大群和右群同态象[J].山东师范大学学报(自然科学版),1991,6(2):18-21. |
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| 作者姓名： | 王德胜 |
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| 作者单位： | 山东师大数学系 |
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| 摘 要： | 本文主要证明了(1)若S和T为任意两个纯整半群、常规半群及其它特殊正则半群,G和H分别为其极大群同态象,则G(×)H为S(×)的极大群同态象;(2)若S和T为两个幂等元集合为矩形带的正则半群,G和H分别为其极大右群同态象,则G(×)H为S(×)T的极大右群同态象。
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| 关 键 词： | 常规半群 极大群 右群 E－可逆半群 |
THE MAXIMAL GROUP AND RIGHT GROUP HOMOMORPHICIMARGE OF THE TENSOR PRODUCTS OF SEMIGROUPS |
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| Wang Desheng.THE MAXIMAL GROUP AND RIGHT GROUP HOMOMORPHICIMARGE OF THE TENSOR PRODUCTS OF SEMIGROUPS[J].Journal of Shandong Normal University(Natural Science),1991,6(2):18-21. |
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| Authors: | Wang Desheng |
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| Institution: | Wang Desheng Department of Mathematics |
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| Abstract: | In the paper we have proved: (1) If S and T are two orthodox, conventional, and other special semigroups, G and H are respectively their maximal group homomorphic images, then G(?)H is the maximal image of S(?)T; (2) If S and T are rectangular bands, G and H are their maximal right group homomorphic images, then G(?)H is the maximal right group homomorphic imgage of S(?)T. |
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| Keywords: | conventiOnal anigroup E-inverse semigtoup pedoinvertib1e semigtoup right group |
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