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On subloops of the loop of invertible elements in the split Cayley–Dickson algebra over a field
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-12-21 , DOI: 10.1080/00927872.2020.1838531 Evgenii L. Bashkirov 1
中文翻译:
关于一个域上的分解Cayley-Dickson代数中的可逆元素环的子环
更新日期:2020-12-21
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-12-21 , DOI: 10.1080/00927872.2020.1838531 Evgenii L. Bashkirov 1
Affiliation
Abstract
This article studies subloops of the Moufang loop of invertible elements in the split Cayley–Dickson algebra over a field K containing a nonassociative subloop formed by elements of the split Cayley–Dickson algebra over a field k such that K is an algebraic extension of k.
中文翻译:
关于一个域上的分解Cayley-Dickson代数中的可逆元素环的子环
抽象的
本文研究了场K上分裂Cayley-Dickson代数中可逆元素的Moufang环的子环,其中包含由场k上分裂Cayley-Dickson代数的元素形成的非缔合子环,使得K是k的代数扩展。