A CHARACTERIZATION OF NUCLEI IN ORTHOMODULAR AND QUANTIC LATTICES

被引:4
作者
ROMAN, L
RUMBOS, B
机构
[1] Instituto de Matemáticas, Universidad Nacional Autónoma de México, Area de la Investigación Cientifica, CP 04510, Circuito Exterior, Ciudad Universitaria
关键词
D O I
10.1016/0022-4049(91)90109-F
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that nuclei in orthomodular lattices, and more generally in quantic lattices are completely determined by the central elements.
引用
收藏
页码:155 / 163
页数:9
相关论文
共 14 条
[1]   QUANTALES AND THEIR SHEAVES [J].
BORCEUX, F ;
VANDENBOSSCHE, G .
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1986, 3 (01) :61-87
[2]  
BORCEUX F, 1984, JAN SIDN CAT SEM
[3]  
Finch, 1970, B AUSTR MATH SOC, V2, P101, DOI 10.1017/S0004972700041642
[4]  
Freyd P., 1972, B AUST MATH SOC, V7, P1, DOI [DOI 10.1017/S0004972700044828, 10.1017/S0004972700044828]
[5]   LINEAR LOGIC [J].
GIRARD, JY .
THEORETICAL COMPUTER SCIENCE, 1987, 50 (01) :1-102
[6]  
Johnstone PT., 1982, STONE SPACES
[7]  
Kalmbach G., 1983, ORTHOMODULAR LATTICE
[8]  
LAWVERE FW, 1972, LECTURE NOTES MATH, V274
[9]   MODAL OPERATORS ON HEYTING ALGEBRAS [J].
MACNAB, DS .
ALGEBRA UNIVERSALIS, 1981, 12 (01) :5-29
[10]  
MULVEY C, 1984, COMMUNICATION