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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Article
31 March 2022

On the Decomposition of Cyclic G-Brauer's Centralizer Algebras

Annamalai Vidhya and Annamalai Tamilselvi∗

Kyungpook Mathematical Journal 2022; 62: 1-28

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

G-Brauer algebras, centraliser algebras, eigenvalues

Article
31 March 2022

Left Regular and Left Weakly Regular n-ary Semigroups

Patchara Pornsurat and Bundit Pibaljommee

Kyungpook Mathematical Journal 2022; 62: 29-41

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

Article
31 March 2022

On n-skew Lie Products on Prime Rings with Involution

Shakir Ali and Muzibur Rahman Mozumder

Kyungpook Mathematical Journal 2022; 62: 43-55

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

Article
31 March 2022

Valuations on Ternary Semirings

Sumana Pal, Jayasri Sircar, Pinki Mondal

Kyungpook Mathematical Journal 2022; 62: 57-67

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

Article
31 March 2022

The Three-step Intermixed Iteration for Two Finite Families of Nonlinear Mappings in a Hilbert Space

Sarawut Suwannaut, Atid Kangtunyakarn

Kyungpook Mathematical Journal 2022; 62: 69-88

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

Article
31 March 2022

An Iterative Method for Equilibrium and Constrained Convex Minimization Problems

Maryam Yazdi, Mohammad Mehdi Shabani, Saeed Hashemi Sababe

Kyungpook Mathematical Journal 2022; 62: 89-106

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

Article
31 March 2022

Truncated Multi-index Sequences Have an Interpolating Measure

Hayoung Choi, Seonguk Yoo

Kyungpook Mathematical Journal 2022; 62: 107-118

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

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