| 一类半环上的最小分配格同余 |
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| 引用本文： | 徐慧,冯军庆.一类半环上的最小分配格同余[J].赣南师范学院学报,2009,30(3):17-19. |
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| 作者姓名： | 徐慧 冯军庆 |
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| 作者单位： | 空军工程大学,理学院应用数学物理系,西安,710051 |
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| 摘 要： | 同余是研究半环结构的主要工具，而分配格是一类特殊的半环．文章主要借助文献3]中的方法，定义交换分配半环上的一个同余。并且验证该同余是最小分配格同余．
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| 关 键 词： | 分配半环 半格同余 格同余 |
The Least Distributive Lattice Congruence on a Class of Semirings |
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| XU Hui,FENG Jun-qing.The Least Distributive Lattice Congruence on a Class of Semirings[J].Journal of Gannan Teachers' College(Social Science(2)),2009,30(3):17-19. |
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| Authors: | XU Hui FENG Jun-qing |
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| Institution: | School of Science;Air Force Engineering University;Xi'an 710051;China |
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| Abstract: | Congruence is a major tool in studying of semiring's structure and distributive lattice is a special semiring.In this paper,a congruence on a commutative distributive semiring is defined by using of a style of congruence in reference3].Moreover,the result that the congruence is the least distributive lattice congruence is proved. |
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| Keywords: | distributive semiring semilattice congruence lattice congruence |
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