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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Article
30 September 2022

On Representable Rings and Modules

Seyed Ali Mousavi, Fatemeh Mirzaei and Reza Nekooei∗

Kyungpook Mathematical Journal 2022; 62: 407-423

In this paper, we determine the structure of rings that have secondary representation (called representable rings) and give some characterizations of these rings. Also, we characterize Artinian rings in terms of representable rings. Then we introduce...
Key Words:

Secondary modules, Secondary representation, Representable rings and modules, Laskerian rings and modules, Semiperfect rings, Artinian rings, Noetherian spectrum, Compactly packed rings, Q-rings, AB5* modules, Linearly compact modules.

Article
30 September 2022

On 2-absorbing Primary Ideals of Commutative Semigroups

Manasi Mandal∗ and Biswaranjan Khanra

Kyungpook Mathematical Journal 2022; 62: 425-436

In this paper we introduce the notion of 2-absorbing primary ideals of a commutative semigroup. We establish the relations between 2-absorbing primary ideals and prime, maximal, semiprimary and 2-absorbing ideals. We obtain various characterization t...
Key Words:

Commutative semigroup, Prime ideal, Maximal ideal, Semiprime ideal, Semiprimary ideal, 2-absorbing ideal

Article
30 September 2022

An Alternative Perspective of Near-rings of Polynomials and Power series

Fatemeh Shokuhifar, Ebrahim Hashemi∗ and Abdollah Alhevaz

Kyungpook Mathematical Journal 2022; 62: 437-453

Unlike for polynomial rings, the notion of multiplication for the near-ring of polynomials is the substitution operation. This leads to somewhat surprising results. Let S be an abelian left near-ring with identity. The relation ∼ o...
Key Words:

Near-ring of polynomials, Zero-divisor graph, Compressed zero-divisor graph, Diameter of graph, Near-ring of formal power series

Article
30 September 2022

Remark on Some Recent Inequalities of a Polynomial and its Derivatives

Barchand Chanam∗, Khangembam Babina Devi and Thangjam Birkramjit Singh

Kyungpook Mathematical Journal 2022; 62: 455-465

We point out a flaw in a result proved by Singh and Shah [Kyungpook Math. J., 57(2017), 537-543] which was recently published in Kyungpook Mathematical Journal. Further, we point out an error in another result of the same paper which we correct and o...
Key Words:

polynomials, s-fold zero, inequality, integral extension

Article
30 September 2022

Some Approximation Results by Bivariate Bernstein-Kantorovich Type Operators on a Triangular Domain

Reşat Aslan∗ and Aydin Izgi

Kyungpook Mathematical Journal 2022; 62: 467-484

In this work, we define bivariate Bernstein-Kantorovich type operators on a triangular domain and obtain some approximation results for these operators. We start off by computing some moment estimates and prove a Korovkin type convergence theorem. Th...
Key Words:

Bernstein-Kantorovich operators, Modulus of continuity, Voronovskaya-type asymptotic theorem, Peetre’s K-functional, GBS type operators

Article
30 September 2022

Generalized Quasi-Einstein Metrics and Contact Geometry

Gour Gopal Biswas, Uday Chand De, Ahmet Yıldız

Kyungpook Mathematical Journal 2022; 62: 485-495

The aim of this paper is to characterize K-contact and Sasakian manifolds whose metrics are generalized quasi-Einstein metric. It is proven that if the metric of a K-contact manifold is generalized quasi-Einstein met...
Key Words:

GQE metrics, Almost contact manifolds, Contact manifolds, K-contact manifolds, Sasakian manifolds

Article
30 September 2022

On the Gauss Map of Tubular Surfaces in Pseudo Galilean 3-Space

Yılmaz Tunçer∗, Murat Kemal Karacan, Dae Won Yoon

Kyungpook Mathematical Journal 2022; 62: 497-507

In this study, we define tubular surfaces in Pseudo Galilean 3-space as type-1 or type-2. Using the X(s,t) position vectors of the surfaces and G(s,t) Gaussian transformations, we obtain equations for the two types o...
Key Words:

Tubular surfaces, Gauss map, pointwise 1-type Gauss map, Pseudo Galilean 3-Space

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