A Half 3-Moufang Quadrangle is Moufang
نویسندگان
چکیده
منابع مشابه
Half-isomorphisms of Moufang Loops
We prove that if the squaring map in the factor loop of a Moufang loop Q over its nucleus is surjective, then every half-isomorphism of Q onto a Moufang loop is either an isomorphism or an anti-isomorphism. This generalizes all earlier results in this vein.
متن کاملMoufang symmetry VII. Moufang transformations
Concept of a birepresentation for the Moufang loops is elaborated. 2000 MSC: 20N05
متن کاملA weak Moufang condition suffices
If Γ is a 2-Moufang generalized n-gon for n ≤ 6, then Γ is Moufang. © 2004 Elsevier Ltd. All rights reserved. MSC: 20E42; 51E12; 05C25
متن کاملOn Moufang A-loops
In a series of papers from the 1940’s and 1950’s, R.H. Bruck and L.J. Paige developed a provocative line of research detailing the similarities between two important classes of loops: the diassociative A-loops and the Moufang loops ([1]). Though they did not publish any classification theorems, in 1958, Bruck’s colleague, J.M. Osborn, managed to show that diassociative, commutative A-loops are ...
متن کاملMoufang symmetry II. Moufang-Mal’tsev pairs and triality
A concept of the Moufang-Malt’tsev pair is elaborated. This concept is based on the generalized Maurer-Cartan equations of a local analytic Moufang loop. Triality can be seen as a fundamental property of such pairs. Based on triality, the Yamagutian is constructed. Properties of the Yamagutian are studied. 2000 MSC: 17D10
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2006
ISSN: 1370-1444
DOI: 10.36045/bbms/1136902617