Rings Whose Elements Are Linear Combinations of Three Commuting Idempotents

被引：0
作者：
P. V. Danchev
机构：
[1] Bulgarian Academy of Sciences,Institute of Mathematics and Informatics
来源：
Lobachevskii Journal of Mathematics | 2019年 / 40卷
关键词：
linear combinations; idempotents; nilpotents; boolean rings; fields;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We classify those rings in which all elements are linear combinations over ℤ of at most three commuting idempotents. Our results improve on recent publications by the author in Albanian J. Math. (2018), Gulf J. Math. (2018), Bull. Iran. Math. Soc. (2018) and Boll. Un. Mat. Ital. (2019) as well as on publications due to Hirano–Tominaga in Bull. Austral. Math. Soc. (1988), Ying et al. in Can. Math. Bull. (2016) and Tang et al. in Lin. and Multilin. Algebra (2019).
引用
收藏
页码：36 / 41
页数：5
相关论文
共 12 条
[1]  
Danchev P. V.(2018)Rings whose elements are sums of three or minus sums of two commuting idempotents Alban. J. Math. 12 3-7
[2]  
Danchev P. V.(2018)Rings whose elements are represented by at most three commuting idempotents Gulf J. Math. 6 1-6
[3]  
Danchev P. V.(2018)Rings whose elements are sums or minus sums of three commuting idempotents Matem. Stud. 49 138-143
[4]  
Danchev P. V.(2018)Rings whose elements are sums of three or difference of two commuting idempotents Bull. Iran. Math. Soc. 44 1641-1651
[5]  
Hirano Y.(1988)Rings in which every element is the sum of two idempotents Bull. Austral. Math. Soc. 37 161-164
[6]  
Tominaga H.(2019)Matrices over a commutative ring as sums of three idempotents or three involutions Lin. Multilin. Algebra 67 267-277
[7]  
Tang G.(2016)Rings in which every element is a sum of two tripotents Can. Math. Bull. 59 661-672
[8]  
Zhou Y.(undefined)undefined undefined undefined undefined-undefined
[9]  
Su H.(undefined)undefined undefined undefined undefined-undefined
[10]  
Ying Z.(undefined)undefined undefined undefined undefined-undefined
12