Computer Search for Large Sets of Idempotent Quasigroups

被引：0
|
作者：
Ma, Feifei [1 ]
Zhang, Jian [1 ]
机构：
[1] Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing 100864, Peoples R China
来源：
COMPUTER MATHEMATICS | 2008年 / 5081卷
关键词：
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A collection of n - 2 idempotent quasigroups of order n is called a large set if any two of them are disjoint, denoted by LIQ(n). While the existence of ordinary LIQ(n) has been extensively studied. the spectrums of large sets of idempotent quasigroups with various identities remain open, for example, large set of Steiner pentagon quasigroups of order 11 which is denoted by LSPQ(11). This paper describes some computer searching efforts seeking to solve such problems. A series of results are obtained including the, non-existence of LSPQ(11).
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页码：349 / 358
页数：10
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