期刊名称:AKCE International Journal of Graphs and Combinatorics
印刷版ISSN:0972-8600
出版年度:2019
卷号:16
期号:1
页码:8-17
DOI:10.1016/j.akcej.2018.02.005
语种:English
出版社:Elsevier
摘要:AbstractSome generalizations of the concept of a supplemented lattice, namely a soc-supplemented-lattice, soc-amply-supplemented-lattice, soc-weak-supplemented-lattice, soc-⊕-supplemented-lattice and completely soc-⊕-supplemented-lattice are introduced. Various results are proved to show the relationship between these lattices. We have also proved that, ifLis a soc-⊕-supplemented-lattice satisfying the summand intersection property (SIP), thenLis a completely soc-⊕-supplemented-lattice.