Hyperstructures of affine algebraic group schemes

被引：6
|
作者：
Jun, Jaiung [1 ]
机构：
[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA
来源：
JOURNAL OF NUMBER THEORY | 2016年 / 167卷
关键词：
Hyperfield; Hyperring; Hypergroup; Affine algebraic group scheme; F-1-Geometry;
D O I：
10.1016/j.jnt.2016.03.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We impose a rather unknown algebraic structure called a 'hyperstructure' to the underlying space of an affine algebraic group scheme. This algebraic structure generalizes the classical group structure and is canonically defined by the structure of a Hopf algebra of global sections. This paper partially generalizes the result of A. Connes and C. Consani in [1]. (C) 2016 Elsevier Inc. All rights reserved.
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页码：336 / 352
页数：17
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