Modularity for upper continuous and strongly atomic lattices

被引:1
|
作者
Lazarz, Marcin [1 ]
Siemienczuk, Krzysztof [1 ]
机构
[1] Univ Wroclaw, Dept Log & Methodol Sci, Wroclaw, Poland
关键词
modular lattice; Birkhoff's conditions; upper semimodular lattice; strongly atomic lattice; upper continuous lattice;
D O I
10.1007/s00012-016-0412-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper extends a result of Crawley and Dilworth on upper continuous and strongly atomic modular lattices.
引用
收藏
页码:493 / 495
页数:3
相关论文
共 50 条
  • [42] Compactons and chaos in strongly nonlinear lattices
    Ahnert, Karsten
    Pikovsky, Arkady
    PHYSICAL REVIEW E, 2009, 79 (02):
  • [43] Scaling of chaos in strongly nonlinear lattices
    Mulansky, Mario
    CHAOS, 2014, 24 (02)
  • [44] Strongly correlated electrons in fcc lattices
    Macedo, C. A.
    Souza, A. M. C.
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2008, 320 (14) : E437 - E439
  • [45] Rings with strongly algebraically closed lattices
    Molkhasi, A.
    Italian Journal of Pure and Applied Mathematics, 2020, 43 : 313 - 319
  • [46] On Strongly Algebraically Closed Orthomodular Lattices
    Molkhasi, A.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2018, 42 (01) : 83 - 88
  • [47] Rings with strongly algebraically closed lattices
    Molkhasi, A.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (43): : 313 - 319
  • [48] Quantum vacuum of strongly nonlinear lattices
    Zhirov, O. V.
    Pikovsky, A. S.
    Shepelyansky, D. L.
    PHYSICAL REVIEW E, 2011, 83 (01):
  • [49] Strongly Algebraically Closed Cevian Lattices
    Molkhasi, Ali
    Shum, Karping
    Nazari, Ebrahim
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (03) : 672 - 676
  • [50] Strongly Algebraically Closed Cevian Lattices
    Ali Molkhasi
    Karping Shum
    Ebrahim Nazari
    Lobachevskii Journal of Mathematics, 2022, 43 : 672 - 676