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ON DOMINATION IN ZERO-DIVISOR GRAPHS OF RINGS WITH INVOLUTION
Nazim, Mohd,Nisar, Junaid,Rehman, Nadeem ur Korean Mathematical Society 2021 대한수학회보 Vol.58 No.6
In this paper, we study domination in the zero-divisor graph of a *-ring. We first determine the domination number, the total domination number, and the connected domination number for the zero-divisor graph of the product of two *-rings with componentwise involution. Then, we study domination in the zero-divisor graph of a Rickart *-ring and relate it with the clique of the zero-divisor graph of a Rickart *-ring.
Annihilating Conditions of Generalized Skew Derivations on Lie Ideals
Nadeem Ur Rehman,Sajad Ahmad Pary,Junaid Nisar 경북대학교 자연과학대학 수학과 2023 Kyungpook mathematical journal Vol.63 No.3
Let A be a prime ring of char(A)̸= 2, L a non-central Lie ideal of A, F a generalized skew derivation of A and p ∈ A, a nonzero fixed element. If pF(η)η ∈ C for any η ∈ L , then A satisfies S4.