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  • 标题:Generalizations of supplemented lattices
  • 本地全文:下载
  • 作者:Shriram K. Nimbhorkar ; Deepali B. Banswal
  • 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.
  • 关键词:KeywordsModular latticeSupplemented latticeSoc-supplemented-latticeSoc-amply-supplemented-latticeSoc-weak-supplemented-lattice
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