关于Clifford半群S和Brandt半群S的S的构造(英文)

On the Constructions S^ of Clifford Semigrop S and Brandt Semigroup S

设Ｓ是半群，Ｓ是Ｓ上所有一一偏的右平移构成的逆半群．在本文中证明了，对Ｃｌｉｆｏｒｄ半群Ｓ＝［Ｙ；Ｇα，φα，β］，Ｓｉｍｌｉｍ｛Ｇα｝α∈Ｙ，而对Ｂｒａｎｄｔ半群Ｓ＝Ｂ（Ｇ，Ｉ），ＳＧｗｒＪ（Ｉ）．

Abstract Let S be an inverse semigroup, S^ the inverse semigroup of all one to one partial right translations on S under the mutiplication of mappings.In the paper,we will prove that S^ is isomorphic to inv lim{ G α} α∈Y for Clifford semigroup S=[Y;G α,φ α,β] and S^ is isomorphic to Gwr J(I) for Brandt semigroup S=B(G,I).