| 某些半环上Green关系的刻划 |
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| 引用本文： | 张娟娟.某些半环上Green关系的刻划[J].纯粹数学与应用数学,2009,25(4):716-720. |
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| 作者姓名： | 张娟娟 |
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| 作者单位： | 西安工程大学理学院,陕西,西安,710048 |
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| 基金项目： | 国家自然科学基金，陕西省教育厅自然科学专项基金 |
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| 摘 要： | 假设S是乘法半群为完全正则半群的半环.给出了S上的Green关系H,L和D是S上的半环同余的等价刻划,并利用幂等元的方法证明了在一定条件下D是S上的同余当且仅当L,R是S上的同余.
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| 关 键 词： | 完全正则半群 半环 Green关系 同余 Mal’cev积 |
The characterization of the Green relations on some semirings |
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| ZHANG Juan-juan.The characterization of the Green relations on some semirings[J].Pure and Applied Mathematics,2009,25(4):716-720. |
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| Authors: | ZHANG Juan-juan |
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| Institution: | ZHANG Juan-juan (School of Science,Xi'an Polytechnic University,Xi'an 710048,China) |
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| Abstract: | Let S be a semiring with a completely regular multiplicative semigroup.The equivalent characterizations of which the Green relations H,L and D are semiring congruences on S are given.And the result that D is a congruence on S if and only if L and R are congruences on S is proved under certain conditions by using the method of idempotent elements. |
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| Keywords: | completely regular semigroups semirings Green relations congruences Mal'cev product |
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