2023/01/19 by Sk Aziz, Aziz, Sk, Om Prakash +2
Mathematics · #16S50 #16W10 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2301.08093
openalex publication_date 2023/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
In this paper, we show that a map δ over a triangular ring T satisfying δ(ab+ba)=δ(a)b+a τ(b)+δ(b)a+bτ(a), for all a,b∈ T and for some maps τ over T satisfying τ(ab+ba)=τ(a)b+a τ(b)+τ(b)a+bτ(a), is additive. Also, it is shown that a map T on T satisfying T(ab)=T(a)b=aT(b), for all a,b∈ T, is additive. Further, we establish that if a map D over T satisfies (m+n)D(ab)=2mD(a)b+2naD(b), for all a,b∈ T and integers m,n≥ 1, then D is additive.