A NOTE ON REAL MEASUREMENT STRUCTURES OF SCALE TYPE (M,M+1)

被引:25
作者
ALPER, TM
机构
关键词
D O I
10.1016/0022-2496(85)90019-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Real relationship structures of scale type can be represented in the reals in such a way that the induced automorphism group is properly contained in the affine group and itself properly contains the group of translation. There are no real relational structures of scale type (m, m + 1), m .gtoreq. 2.
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页码:73 / 81
页数:9
相关论文
共 6 条
[1]  
Fuchs L., 1963, Partially Ordered Algebraic Systems
[2]  
KRANTZ DH, 1971, F MEASUREMENT, V1
[3]   CLASSIFICATION OF CONCATENATION MEASUREMENT STRUCTURES ACCORDING TO SCALE TYPE [J].
LUCE, RD ;
NARENS, L .
JOURNAL OF MATHEMATICAL PSYCHOLOGY, 1985, 29 (01) :1-72
[5]   ON THE SCALES OF MEASUREMENT [J].
NARENS, L .
JOURNAL OF MATHEMATICAL PSYCHOLOGY, 1981, 24 (03) :249-275
[6]   HOMEOMORPHIC GROUPS OF REAL NUMBER SERIES WITH FEW FIXED POINTS [J].
STRAMBACH, K .
ARCHIV DER MATHEMATIK, 1969, 20 (05) :556-+