摘要
本文主要研究了半群S的幂半群P(S)上Green关系的若干性质.证明了对任意的a∈S,a在S和P(S)中的L类,R类,H类之间的关系.同时,对完全正则半群S,证明了P(S)中的两个元素A,B在同一R类(或同一L类,H类)时,Id A=Id B.
The paper gives a semigroup S,some properties of Green's relation on the power semigroup P( S)of S are studied. The relations of the L-class La( S)( the R-class Ra( S),the H-class Ha( S),respectively) and the L-class La( P( S))( the R-class Ra( P( S)),the H-class Ha( P( S)),respectively) are discussed. Also,it is proved that for any A,B ∈ P( S),Id A = Id B if either ALP( S)B or ARP( S)B.
引文
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