| 半群的张量积和其极大同态象 |
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| 引用本文： | 王德胜,张玉芬.半群的张量积和其极大同态象[J].山东师范大学学报(自然科学版),1996,11(1):12-16. |
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| 作者姓名： | 王德胜 张玉芬 |
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| 作者单位： | 山东师范大学数学系 |
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| 摘 要： | 证明了在交换半群范畴中，Ａｒｃｈｉｍｅｄｅａｎ半群，Ｅ－可逆半群和伪逆半群张量积的封闭性，并给出了两个半群张量积有极大群同态象，极大正则同态象和极大右零半群同态的若干充分条件。
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| 关 键 词： | 伪逆半群 半群 张量积 极大同态象 |
ON THE TENSOR PRODUCTS OF SEMIGROUPS AND THEIR MAXIMUM HOMOMORPHIC IMAGES |
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| Wang Desheng,Zhang Yufen.ON THE TENSOR PRODUCTS OF SEMIGROUPS AND THEIR MAXIMUM HOMOMORPHIC IMAGES[J].Journal of Shandong Normal University(Natural Science),1996,11(1):12-16. |
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| Authors: | Wang Desheng Zhang Yufen |
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| Abstract: | It is proved that the tensor products of two Archimedean semigroups,the tensor products of two E-inverse semigroups and the tensor product of two pseuoinvertible semigroups are closed in the catergory of commutative semigroups. Some sufficient conditions are given for the tensor product to have maximum group homomorphic image,to have maximum regular homorphic image and to have maximum right zero homomorphic image. |
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