Resumen de Stone compactification of additive generalized-algebraic lattices

Xueyou Chen, Qingguo Li, Zike Deng

• In this paper, the notions of regular, completely regular, compact additive generalized algebraic lattices are introduced, and Stone compactification is constructed. The following theorem is also obtained. Theorem: An additive generalized algebraic lattice has a Stone compactification if and only if it is regular and completely regular.