Pappian implies Arguesian for modular lattices

被引:0
作者
Takách, G [1 ]
机构
[1] Bolyai Inst, JATE, H-6720 Szeged, Hungary
关键词
Arguesian; Pappian; modular lattice;
D O I
10.1007/s000120050129
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove the claim in the title, using Hessemberg's analog theorem for projective planes, and the characterization of non-Arguesian modular lattices provided by Day and Jonsson [5, 6].
引用
收藏
页码:151 / 152
页数:2
相关论文
共 8 条
[1]  
DAY A, 1988, ORDER, V5, P85
[2]   IN SEARCH OF A PAPPIAN LATTICE IDENTITY [J].
DAY, A .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1981, 24 (02) :187-198
[3]   ON SOME GEOMETRICAL PROPERTIES DEFINING CLASSES OF RINGS AND VARIETIES OF MODULAR LATTICES [J].
DAY, A .
ALGEBRA UNIVERSALIS, 1983, 17 (01) :21-33
[4]  
DAY A, 1986, ORDER, V2, P335
[5]  
DAY A, 1980, COLL MATH SOC J BOLY, V33, P277
[6]  
DAY A, 1987, ACTA SCI MATH SZEGED, V51, P309
[7]   DAY,ALAN WORK ON MODULAR AND ARGUESIAN LATTICES [J].
HERRMANN, C .
ALGEBRA UNIVERSALIS, 1995, 34 (01) :35-60
[8]  
Jonsson B., 1953, Math. Scand, V1, P193, DOI [10.7146/math.scand.a-10377, DOI 10.7146/MATH.SCAND.A-10377]