| 关于乘法含幺半环的拟分配格上的半环同余及商半环 |
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| 引用本文： | 史福娟,李刚,刘清. 关于乘法含幺半环的拟分配格上的半环同余及商半环[J]. 山东师范大学学报(自然科学版), 2012, 27(4): 10-12 |
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| 作者姓名： | 史福娟 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,250014,济南
2. 山东城市建设职业学院基础部,250014,济南 |
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| 摘 要： | 定义了乘法含幺半环的拟分配格上的容许同余族，给出了乘法含幺半环的拟分配格上的一个半环同余，得到了关于乘法含幺半环的拟分配格的商半环的一个结果．
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| 关 键 词： | 半环 半环同余 容许同余族 分配格同余 |
ON SEMIRING CONGRUENCES AND QUOTIENT SEMIRING ON THE QUASI-DISTRIBUTIVE LATTICE OF SEMIRINGS WITH MULTIPLICATION MONOID |
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| Shi Fujuan , Li Gang , Liu Qing. ON SEMIRING CONGRUENCES AND QUOTIENT SEMIRING ON THE QUASI-DISTRIBUTIVE LATTICE OF SEMIRINGS WITH MULTIPLICATION MONOID[J]. Journal of Shandong Normal University(Natural Science), 2012, 27(4): 10-12 |
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| Authors: | Shi Fujuan Li Gang Liu Qing |
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| Affiliation: | 2 ( 1 ) School of Mathematics Science, Shandong Normal University, 250014, Jitmn, China; Foundation Department, Shandong Urban Construction Vocational College, 250014, Jiimn, China ) |
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| Abstract: | The distributive lattice of distributive lattice of definition of semirings wi semirings wi e family of admissible congurences and a semiring congruences on the quasi - multiplication monoid are given, and a result about quotient semiring of quasi- multiplication monoid is obtained. |
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| Keywords: | semiring semiring congruence iamily of admissible congruences congruences oldistributive lattice |
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