In this study, we prove that let N be a fixed positive integer and R semiprime -ring with extended centroid . Suppose additive maps such is onto, satisfy one of the following conditions belong to Г-N- generalized strong commutativity preserving for short; (Γ-N-GSCP) on Г-N-anti-generalized (Γ-N-AGSCP) Then there exists an element form when condition (i) satisfied, (ii) satisfied

In this paper, we study representations of ultragraph Leavitt path algebras via branching systems and, using partial skew ring theory, prove the reduction theorem for these algebras. We apply to show that are semiprime and completely describe faithfulness arising from systems, in terms dynamics systems. Furthermore, permutative provide a sufficient criteria representation an algebra be equivale...

It is an open problem whether a separating operator acting between semiprime f-algebras weighted composition operator. In this respect, we have been largely motivated by the recent paper (Abid et al. in Positivity 21:521–537, 2017) which give positive answer when f-algebra domain unital. general case, prove that if and only almost contractive. As consequence, generalizes improve some well-known...