JORDAN REGULAR UNITS IN RINGS AND GROUP RINGS

被引：2
|
作者：
Kumari, P. [1 ]
Sahai, M. [2 ]
Sharma, R. K. [3 ]
机构：
[1] Govt PG Coll Women, Rohtak, Haryana, India
[2] Lucknow Univ, Dept Math & Astron, Lucknow, Uttar Pradesh, India
[3] Indian Inst Technol Delhi, Dept Math, New Delhi, India
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2023年 / 75卷 / 3期
关键词：
D O I：
10.1007/s11253-023-02207-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The concept of Lie regular elements and Lie regular units was defined and studied by Kanwar, Sharma, and Yadav in Comm. Algebra, 40, No. 4, 1304-1315 (2012). We introduce Jordan regular elements and Jordan regular units. It is proved that the order of the set of Jordan regular units in M(2, Z(2n)) is equal to a half of the order of U(M(2, Z(2n))). Further, we show that the group ring KG of a group G over a field K of characteristic 2 has no Jordan regular units.
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页码：403 / 418
页数：16
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