| 关于一类半环上的格林关系的若干研究 |
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| 引用本文： | 练利锋,任苗苗,陈益智.关于一类半环上的格林关系的若干研究[J].纯粹数学与应用数学,2014,30(4):420-427. |
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| 作者姓名： | 练利锋 任苗苗 陈益智 |
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| 作者单位： | 1. 西北大学数学学院,陕西西安,710127
2. 广东惠州学院数学系,广东惠州,516007 |
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| 基金项目： | 广东高校优秀青年创新人才培养计划项目 |
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| 摘 要： | 研究了加法半群是带,乘法半群是完全正则半群的半环上的格林关系,给出了˙L∧+D(+L,+R)是同余关系的充分必要条件,证明了由这些同余关系所决定的半环类都是半环簇,并给出了这些半环簇的Mal′cev积分解.
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| 关 键 词： | 半环 簇 同余 格林关系 |
Several studies of Green's relations on a class of semiring |
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| Lian Lifeng,Ren Miaomiao,Chen Yizhi.Several studies of Green's relations on a class of semiring[J].Pure and Applied Mathematics,2014,30(4):420-427. |
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| Authors: | Lian Lifeng Ren Miaomiao Chen Yizhi |
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| Affiliation: | Lian Lifeng, Ren Miaomiao, Chen Yizhi (1. Department of Mathematics, Northwest University, Xi＇an 710127, China 2. Department of Mathematics, Huizhou University, Huizhou Guangdong 516007, China) |
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| Abstract: | Greents-relations of a semiring variety whose additive reduct is band and multiplicative reduct is completely regular semigroup are studied.We give the sufficient and necessary conditions which make L A ∧ D^＋ （L^＋, R^＋） be congruence relations, obtain the classes of semiring which are determined by these Green＇s-relations are semiring varieties, and through the Mal＇cev product, we also obtain the decomposition of these semiring varieties. |
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| Keywords: | semiring variety congruence Green＇s relation |
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