In this paper, we define the G-Brauer algebras DfGx

**Key Words:**

*G*-Brauer algebras, centraliser algebras, eigenvalues

We study the concept of a quasi-ideal and a generalized bi-ideal of an n-ary semigroup; give a construction of the quasi-ideal of an n-ary semigroup generated by its nonempty subset; and introduce the notions of regularities, namely, a ...

**Key Words:**

*n*-ary semigroup, left regular, right regular, quasi-ideal

Let R be a *-ring and n≥ 1 be an integer. The objective of this paper is to introduce the notion of n-skew centralizing maps on *-rings, and investigate the impact...

**Key Words:**

Prime ring, derivation, involution, centralizing mappings, 2-skew Lie product, 2-skew centralizing mappings, *n*-skew commuting mappings, *n*-skew centralizing mapping

In the present study, we introduce a valuation of ternary semiring on an ordered abelian group. Motivated by the construction of valuation rings, we study some properties of ideals in ternary semiring arising in connection with the valuation map. W...

**Key Words:**

Valuation, valuation ring, ternary semiring, ternary division semiring

In this work, the three-step intermixed iteration for two finite families of nonlinear mappings is introduced. We prove a strong convergence theorem for approximating a common fixed point of a strict pseudo-contraction and strictly pseudononspreading...

**Key Words:**

fixed point, the intermixed algorithm, strictly pseudo-contraction, strictly pseudononspreading, strong convergence theorem

We are concerned with finding a common solution to an equilibrium problem associated with a bifunction, and a constrained convex minimization problem. We propose an iterative fixed point algorithm and prove that the algorithm generates a sequence st...

**Key Words:**

Nonexpansive mapping, equilibrium problem, fixed point, convex minimization, averaged mapping, iterative method, variational inequality

In this note we observe that any truncated multi-index sequence has an interpolating measure supported in Euclidean space. It is well known that the consistency of a truncated moment sequence is equivalent to the existence of an interpolating measure...

**Key Words:**

moment problem, interpolating measure, consistency, rank-one decomposition