2 papers
math.RA2025
On Strongly \( J^{\#} \)-Clean Rings
Peter Danchev, Gholamreza Karamali, Omid Hasanzadeh +1
We define and examine the class of {\it strongly \( J^{\#} \)-clean rings} consisting of those rings such that each element of is the sum of an idempotent from and an e…
math.AC2025
Some Results on Triangular Coefficient Matrix Rings
Peter Danchev, Gholamreza Karamali, Hessam Hosseinnezhad +1
In this paper, we introduce the concept of a {\it triangular coefficient matrix ring} and investigate the structure of its ideals. We then characterize the radicals of the ring \(…