文摘:引进和研究了广义连续格的下同态和上同态,建立了广义代数格紧元素之间的映射扩充为下同态的充要条件。

• Abstract: We introduce and investigate lower homomorphisms and upper homomorphisms of generalized-continuous lattices.A necessary and sufficient condition for a mapping between compact elements of generalized-algebraic lattices to be extended to a lower homomorphism is established.