Abstract The concept of quasi C-continuity for posets is introduced. In terms of quasi Ccontinuity, it is proved that quasi-continuity of a dcpo is equivalent to the quasi-continuity of its Scott-closed lattice. It is obtained that the Scott-closed lattice of a dcpo satisfying the property M is C-algebraic. A new sufficient condition is given for the isomorphism of two dcpos with isomorphic Scott-closed lattices.
HE Qing-yu, XU Luo-shan. C-algebraicity of Scott-closed lattices and its applications. Applied Mathematics A Journal of Chinese Universities, 2014, 29(3): 369-374.
