منابع مشابه
Diassociativity in Conjugacy Closed Loops
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|.
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ژورنال
عنوان ژورنال: International Journal of Operational Research
سال: 2019
ISSN: 1745-7645,1745-7653
DOI: 10.1504/ijor.2019.10025749