| 乘法含幺半环的拟分配格的同余格 |
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| 引用本文： | 李刚,刘清. 乘法含幺半环的拟分配格的同余格[J]. 山东科学, 2014, 27(6): 100-104. DOI: 10.3976/j.issn.1002-4026.2014.06.017 |
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| 作者姓名： | 李刚 刘清 |
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| 作者单位： | 1.山东师范大学数学科学学院，山东 济南 250014；2.山东城市建设职业学院基础部，山东 济南 250014 |
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| 摘 要： | 定义了乘法含幺半环的拟分配格S=[D;Sα]的同余格的一个子格,证明了它同构于Sα(α∈D)的同余格的直积的子格,用同余对刻画了乘法含幺逆半环的拟分配格S=[D;Sα]上的同余。
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| 关 键 词： | 半环的同余格 同余对 半环 分配格 拟分配格 |
| 收稿时间： | 2014-07-03 |
Lattice of congruence of a quasi distributive lattice of semirings with multiplication identical elements |
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| LI Gang,LIU Qing. Lattice of congruence of a quasi distributive lattice of semirings with multiplication identical elements[J]. Shandong Science, 2014, 27(6): 100-104. DOI: 10.3976/j.issn.1002-4026.2014.06.017 |
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| Authors: | LI Gang LIU Qing |
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| Affiliation: | 1. School of Mathematics, Shandong Normal University, Jinan 250014, China;2. Department of Basic Sciences, Shandong Urban Construction Vocational College, Jinan 250014, China |
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| Abstract: | ∶We define a sub lattice of the lattice of congruence of a quasi distributive lattice S=［D;Sα］of semirings with multiplication identical elements . We also prove that such a sub lattice is isomorphic to a sub lattice of the direct product of lattice of congruence of Sα=［α∈D］. We further demonstrate the congruence of a quasi distributive lattice S=［D;Sα］ of inverse semirings with multiplication identical elements by congruence pairs. |
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| Keywords: | distributive lattice quasi distributive lattice congruence pair semiring lattice of congruence on a semiring |
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