Sums of units in self-injective rings

被引：0

作者：

Khurana, Anjana ^{[1
]}

Khurana, Dinesh ^{[1
]}

机构：

[1] Panjab Univ, Dept Math, Chandigarh 160014, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 06期

关键词：

Sums of units; right self-injective rings; n-good rings; n-tuplet-good;

D O I：

10.1142/S0219498814500200

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if no field of order less than n + 2 is a homomorphic image of a right self-injective ring R, then for any element a is an element of R and central units u(1), u(2), ... , u(n). U(R) there exists a unit u is an element of U(R) such that a + u(i)u is an element of U(R) for each i >= 1.

引用

页数：7

共 16 条

[1]

Goodearl K. R., 1991, VONNEUMANN REGULAR R

[2] SUMS OF UNITS IN RINGS [J].