Commutativity and ideals in category crossed products

被引：15
|
作者：
Oinert, Johan [1 ]
Lundstrom, Patrik [2 ]
机构：
[1] Lund Univ, Ctr Math Sci, SE-22100 Lund, Sweden
[2] Univ West, Dept Engn Sci, SE-46186 Trollhattan, Sweden
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2010年 / 59卷 / 04期
基金：
瑞典研究理事会;
关键词：
category graded rings; crossed products; ideals; PRIME IDEALS; ORE EXTENSIONS;
D O I：
10.3176/proc.2010.4.13
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the centre and the commutant of the coefficient ring. We also investigate the connection between on the one hand maximal commutativity of the coefficient ring and on the other hand nonemptiness of intersections of the coefficient ring by nonzero two-sided ideals.
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页码：338 / 346
页数：9
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