| 交换分配半环上的最小分配格同余 |
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| 引用本文： | 李师正,李善海,于晓明.交换分配半环上的最小分配格同余[J].数学季刊,2003,18(1):35-43. |
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| 作者姓名： | 李师正 李善海 于晓明 |
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| 作者单位： | Department of Mathematics，Shandong Normal University，Shandong 250014，China |
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| 摘 要： | § 1 . Introduction AsemiringSisanalgebraicstructure(S ,+,·)consistingofanon emptysetStogetherwithtwobinaryoperations +and·onSsuchthat(S ,+)and(S ,·)aresemigroupsconnectedbyring likedistributivity1 ] .AsemiringSiscalledacommutativesemiringif (S ,+)and(S ,·)arebothcommutative.AcommutativesemiringiscalledacommutativedistributivityifinStheadditionisdistributiveaboutmultiplication ,i.e.,ab +c =(a+c) (b+c) ,a +bc=(a +b) (a+c) holdsforalla ,b,c∈S2 ] .Anequivalentrelationρonasemiring…
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| 关 键 词： | 最小分配同余格 可交换分配半环 代数结构 半群 |
The Least Distributive Lattice Congruence on Commutative Distributive Semiring |
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| LI Shi-zheng,LI Shan-hai,YU Xiao-ming.The Least Distributive Lattice Congruence on Commutative Distributive Semiring[J].Chinese Quarterly Journal of Mathematics,2003,18(1):35-43. |
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| Authors: | LI Shi-zheng LI Shan-hai YU Xiao-ming |
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| Institution: | DepartmentofMathematics,ShandongNormalUniversity,Shandong250014,China |
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| Abstract: | In this paper,we describe the least distributive lattice congruence on a commutative distribu-tive semiring. |
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| Keywords: | semiring commutative distributive semiring distributive lattice congruence |
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