The Green's relation of transformation semigroup that preserves an equivalence on plane
Lunzhi Deng · Journal of Guizhou Normal University · 2008
Let α=〔mn〕,β=〔st〕∈R2×1 denote α～βm+n=s+t,obviously the ～ is an equivalence between vectors on plane.Let S=〔A∈R2×2|α,β∈R2×1,α～β■Aα～Aβ〕,clearly S is a semigroup under matrix operation.The author studies the Green's relation of S.