Special Sylvester equations, PI and EP elements in rings with involution
JOURNAL OF ALGEBRA AND ITS APPLICATIONS(2023)
Abstract
In this paper, we study the general solution to certain special Sylvester equations, PI and EP elements in rings with involution. Especially, some practical necessary and sufficient solvability conditions for special Sylvester equations axa dagger a - aa* ya = 0 and aa* x - ya dagger a = c are presented, and expressions of the general solution to these two equations when they are solvable are provided.
MoreTranslated text
Key words
Special Sylvester equation, general solution, PI element, EP element
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined