Rings whose elements are sums or minus sums of three commuting idempotents
Journal Title: Математичні Студії - Year 2018, Vol 49, Issue 2
Abstract
We completely determine up to isomorphism those rings whose elements x have the specific property that x or -x is a sum of three commuting idempotents. This statement strengthens well-known results in the subject due to Hirano-Tominaga (Bull. Austral. Math. Soc., 1988), Ying et al. (Can. Math. Bull., 2016), Tang et al. (Lin. & Multilin. Algebra, 2018), Danchev (Boll. Un. Mat. Ital., 2019) and (Bull. Iran. Math. Soc., 2019).
Authors and Affiliations
P. V. Danchev
Keywords
Related Articles
- EP ID EP411740
- DOI 10.15330/ms.49.2.138-143
- Views 54
- Downloads 0
Analysis the solutions of the differential nonlinear equations describing the information spreading process with jump discontinuity
In this paper, we introduce a mathematical model of spreading any type of information. The model has the form of a system of nonlinear differential equations with non-stationary parameters. We have suggested the explicit...
On locally compact semitopological graph inverse semigroups
In this paper we investigate locally compact semitopological graph inverse semigroups. Our main result is the following: if a directed graph E is strongly connected and has finitely many vertices, then any Hausdorff shif...
On boundary behavior of mappings with two normalized conditions
The paper is devoted to a study of mappings with finite distortion that have been recently actively investigated last time. We study the boundary behavior of mappings between two fixed domains in metric spaces, which sat...
Growth of p-th means of the Poisson-Stieltjes integrals in polydisc
We prove a sharp upper estimate of the pth means of the Poisson-Stieltjes integrals in the unit polydisc for p>1. The estimate is given in terms of the smoothness of a complex-valued Stieltjes measure μ. If the measure μ...
Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations
The concept of complex valued bivariate entire functions of bounded index is extended to Cn valued bivariate entire functions by replacing the absolute value in the definition of an entire function of bounded index by th...