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富足半群上的自然偏序
引用本文:郭小江,罗彦锋.富足半群上的自然偏序[J].数学进展,2005,34(3):297-308.
作者姓名:郭小江  罗彦锋
作者单位:1. 江西师范大学数学与信息科学学院,南昌,江西,330027
2. 兰州大学数学系,兰州,甘肃,730000
基金项目:This work is supported by the Natural Science Foundation of Jiangxi Province the Science Foundation of Education Department of Jiangxi Province and also by the Foundation of Jiangxi Normal University.
摘    要:本文研究富足半群上的自然偏序,得到Green关系和自然偏序之间的联系,确定了富足半群何时关于自然偏序具有单边(双边)相容,另外,也研究了富足半群的本原元。

关 键 词:自然偏序  富足半群

The Natural Partial Orders on Abundant Semigroups
GUO Xiao-jiang,LUO Yan-feng.The Natural Partial Orders on Abundant Semigroups[J].Advances in Mathematics,2005,34(3):297-308.
Authors:GUO Xiao-jiang  LUO Yan-feng
Abstract:The aim of this paper is to investigate the natural partial orders on abundant semigroups. After giving the connections between Green relations with the natural partial orders, we determine when in an abundant semigroup, the natural partial order is compatible on the simple double] sides with multiplication. In addition, we also consider primitive elements of abundant semigroups.
Keywords:natural partial order  abundant semigoup
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