中心完全正则半群上的最小纯正同余(英文)

The Least Orthogroup Congruence on Central Completely Regular Semigroups

通过具体刻画中心密码群并半群上的最小纯正同余ρO={(a,b)∈S×S|a0=b0,ab-1∈C(S)}和中心完全正则半群上的最小Clliford同余ρ={(a,b)∈S×S|aDb,ab-1∈C(S)},得出(H∩ρ)*是中心完全正则半群上的最小纯正同余.

This paper aims to prove that（H∩ρYG）is the least orthogroup congruence on central completely regular semigroups,by studying the least orthogroup congruence on central cryptogroupsρO={（a,b）∈S×S｜a^0=b^0,ab^-1∈C（S）}and the least Clifford congruence on central completely regular semigroupsρYG={（a,b）∈S×S｜aDb,ab^-1∈C（S）}