Congruences on a bicyclic semigroup

XU Wen-feng · Journal of Shaoguan University · 2012

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 and {s-k=t-l}.

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