Diassociativity in Conjugacy Closed Loops

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	Diassociativity in Conjugacy Closed Loops
	Michael K. Kinyon; Kenneth Kunen; J. D. Phillips
	2004
Source	Communications in Algebra
Volume	32 Issue:2 Pages:767 - 786
English Abstract	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\|.
Indexed Type	其他
Cooperation Status	其它
Keyword	Conjugacy Closed Loop Diassociative Power Associative Weak Inverse Property Holomorph
Language	英语
Content Type	期刊论文
URI	http://ir.iscas.ac.cn/handle/311060/1337
Collection	中国科学院软件研究所
Recommended Citation 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.

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