BIRING THEORY AND ITS GALOIS THEORY OF RINGS

被引：0
|
作者：
Winter, David J. [1 ]
机构：
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 08期
关键词：
Algebra; Algop; Bialgebroid; Bimodule; Biring; Central simple; Coring; Galois descent; Galois theory; Preservation; Ring; Primary; 16D10; 16D20; Secondary; 16W20; 16W30; SIMPLE LIE-ALGEBRAS; QUANTUM GROUPOIDS; ALGOPS; DEPTH;
D O I：
10.1080/00927872.2013.786944
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Biring theory is about birings (A, P), that is, algops (A, P) of an associative algebra A and (A, A)-biring P acting on A via a morphism : PPres(F)A from P to the terminal (A, A)-biring Pres(F)A of preservations of A. (The word biring is used in a theory for a structure with unit, product, counit, coproduct subject to conditions of the theory.) Biring theory has its central simple theory and its Galois theory of rings. Its Galois birings are the reduced simple birings.
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页码：3453 / 3490
页数：38
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