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双循环半群上的同余结构
引用本文:徐文锋. 双循环半群上的同余结构[J]. 韶关学院学报, 2012, 33(8): 11-13
作者姓名:徐文锋
作者单位:韶关学院数学与信息科学学院,广东韶关,512005
摘    要:对双循环半群上的同余结构进行了讨论,证明了双循环半群S上同余只存在恒等同余或群同余,并给出最小群同余的刻化,σ={((s,t),(k,l)∈S×S且{s-k=t-l}.

关 键 词:双循环半群  群同余  同余

Congruences on a bicyclic semigroup
XU Wen-feng. Congruences on a bicyclic semigroup[J]. Journal of Shaoguan University(Social Science Edition), 2012, 33(8): 11-13
Authors:XU Wen-feng
Affiliation:XU Wen-feng (College of Mathematics and Information Sciences, Shaoguan University, Shaoguan 512005, Guangdong, China)
Abstract:The bicyclic semigroup plays a very important role in the theory of regular semigroups. In this paper, the aruthor discusses the congruences on a bicyclic semigroup concerning either identity congruence or group congruences, and describes the minimum group congruence σ={((s,t),(k,l)∈S×S且{s-k=t-l}.
Keywords:bicyclic semigroup  group congruences  congruence
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