设Xn=﹛1,2,...n﹜是有限集, Singn是Xn上的奇异变换半群,On和Rn是Singn上的保序变换之集和反保序变换之集,令ORn(K) =﹛α∈On:Kα=K﹜∪﹛α∈Rn:Kα=K﹜,刻画了半群ORn(K)的Green关系。
Let Xn=﹛1,2,...n﹜ denote a finite set,?Singn is Singular transformation semigroups on it.?On and?Rn is Order-preserving and anti-order-preserving transformation semigroups of?Singn . Let ORn(K) =﹛α∈On:Kα=K﹜∪﹛α∈Rn:Kα=K﹜, this paper describes Green’s relations of?ORn(K) .
Deng, L.Z., Zeng, J.W. and Xu, B. (2010) Green’s Relations and Regularity for Semigroups of Transformations That Preserve Double Di-rection Equivalence. Semigroup Forum, 80, 416-425.