HOMOMORPHISMS OF IMPLICATIVE SEMIGROUPS

被引:33
作者
CHAN, MW [1 ]
SHUM, KP [1 ]
机构
[1] CHINESE UNIV HONG KONG,DEPT MATH,SHA TIN,HONG KONG
关键词
D O I
10.1007/BF02573537
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Implicative semigroups and Brouwerian semigroups were studied by W. C. Nemitz and T. S. Blyth, respectively. In this paper, following the ideas of Nemitz and Blyth, we introduce the notion of negatively partially ordered implicative semigroups and studied the homomorphisms between these semigroups. Some results of Nemitz on implicative semilattices are generalized and amplified to implicative semigroups.
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页码:7 / 15
页数:9
相关论文
共 5 条
[1]  
BIRKHOFF G, 1954, AM MATH SOC C PUBL
[2]  
BLYTH TS, 1965, J LONDON MATH SOC, V40, P441
[3]  
CURRY HB, 1963, F MATH LOGIC
[4]  
JANOWITZ MJ, 1969, J LONDON MATH SOC, V1, P733
[5]   IMPLICATIVE SEMI-LATTICES [J].
NEMITZ, WC .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 117 (05) :128-&