关于广义序同态的讨论  

Discussion on generalized order homomorphism

作　　者：张立国[1] ZHANG Liguo(School of Science,Shenyang Ligong University,Shenyang Liaoning 110159)

机构地区：[1]沈阳理工大学理学院,辽宁沈阳110159

出　　处：《辽宁师专学报（自然科学版）》2024年第2期1-3,共3页Journal of Liaoning Normal College(Natural Science Edition)

摘　　要：讨论广义序同态在各类完全分配格上的性质,指出F_(1)格上的广义序同态实为经典集合之间的单射所诱导的保序(包含序)映射,为连续格理论和Fuzzy拓扑学的研究提供一些新的思路.The properties of generalized order homomorphisms on all types of completely distributive lattices are discussed.It is pointed out that the generalized order homomorphisms on F_(1)lattices are actually order-preserving mappings(containing the order)induced by injection between classical sets,which provides some new ideas for the study of continuous lttices theory and Fuzzy topology.

关 键 词：广义序同态 单射 诱导 

分 类 号：O189.13[理学—数学]