The variety generated by planar modular lattices

被引:9
作者
Graetzer, G. [1 ]
Quackenbush, R. W. [1 ]
机构
[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Modular lattice; planar; order-dimension; subdirectly irreducible; variety; weakly atomic; EQUATIONAL CLASSES; ALGEBRAS;
D O I
10.1007/s00012-010-0070-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the variety generated by the class of planar modular lattices. The main result is a structure theorem describing the subdirectly irreducible members of this variety.
引用
收藏
页码:187 / 201
页数:15
相关论文
共 16 条
[1]  
[Anonymous], 1974, ALGEBR UNIV
[2]   PRIMITIVE SATISFACTION AND EQUATIONAL PROBLEMS FOR LATTICES AND OTHER ALGEBRAS [J].
BAKER, KA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 190 (463) :125-150
[3]  
BAKER KA, 1961, THESIS HARVARD COLL
[4]  
BAKER KA, 1982, C MATH SOC J BOL, V29, P53
[5]   A DECOMPOSITION THEOREM FOR PARTIALLY ORDERED SETS [J].
DILWORTH, RP .
ANNALS OF MATHEMATICS, 1950, 51 (01) :161-166
[6]  
FREESE R, 1973, P U HOUST LATT THEOR, P409
[7]  
FREESE R, 1977, MEM AM MATH SOC, V181
[8]   EQUATIONAL CLASSES OF LATTICES [J].
GRATZER, G .
DUKE MATHEMATICAL JOURNAL, 1966, 33 (03) :613-&
[9]  
GRATZER G, 2004, ACTA SCI MATH SZEGED, V73, P3
[10]  
Gratzer G., 2003, GEN LATTICE THEORY