Diassociativity in Conjugacy Closed Loops
文献类型:期刊论文
作者 | Michael K. Kinyon ; Kenneth Kunen ; J. D. Phillips |
刊名 | Communications in Algebra
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出版日期 | 2004 |
卷号 | 32期号:2页码:767 - 786 |
关键词 | Conjugacy closed loop Diassociative Power associative Weak inverse property Holomorph |
合作状况 | 其它 |
中文摘要 | Let Q be a conjugacy closed loop, and N(Q) its nucleus. Then Z(N(Q)) contains all associators of elements of Q. If in addition Q is diassociative (i.e., an extra loop), then all these associators have order 2. If Q is power-associative and |Q| is finite and relatively prime to 6, then Q is a group. If Q is a finite non-associative extra loop, then 16 ∣ |Q|. |
收录类别 | 其他 |
语种 | 英语 |
公开日期 | 2010-05-13 |
源URL | [http://124.16.136.157/handle/311060/1337] ![]() |
专题 | 软件研究所_软件所图书馆_期刊论文 |
推荐引用方式 GB/T 7714 | Michael K. Kinyon,Kenneth Kunen,J. D. Phillips. Diassociativity in Conjugacy Closed Loops[J]. Communications in Algebra,2004,32(2):767 - 786. |
APA | Michael K. Kinyon,Kenneth Kunen,&J. D. Phillips.(2004).Diassociativity in Conjugacy Closed Loops.Communications in Algebra,32(2),767 - 786. |
MLA | Michael K. Kinyon,et al."Diassociativity in Conjugacy Closed Loops".Communications in Algebra 32.2(2004):767 - 786. |
入库方式: OAI收割
来源:软件研究所
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