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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Article
30 June 2021

Baer–Kaplansky Theorem for Modules over Non-commutative Algebras

Gabriella D'Este, Derya Keskİn Tütüncü

Kyungpook Mathematical Journal 2021; 61: 213-222

In this paper we investigate the Baer-Kaplansky theorem for module classes on algebras of finite representation types over a field. To do this we construct finite dimensional quiver algebras over any field.
Key Words:

Baer-Kaplansky theorem, quivers and representations

Article
30 June 2021

Left Translations and Isomorphism Theorems for Menger Algebras of Rank n

Thodsaporn Kumduang and Sorasak Leeratanavalee

Kyungpook Mathematical Journal 2021; 61: 223-237

Let n be a fixed natural number. Menger algebras of rank n can be regarded as a canonical generalization of arbitrary semigroups. This paper is concerned with studying algebraic properties of Menger algebras of rank n by first d...
Key Words:

Menger algebras of rank n, translations, congruences, quotient Menger algebras of rank n, isomorphism theorems

Article
30 June 2021

Weak FI-extending Modules with ACC or DCC on Essential Submodules

Adnan Tercan, Ramazan Yaşar

Kyungpook Mathematical Journal 2021; 61: 239-248

In this paper we study modules with the WFI+-extending property. We prove that if M satisfies the WFI+-extending, pseudo duo properties and M/(Soc M) has finite uniform dimension then M ...
Key Words:

CS-module, uniform dimension, ascending chain condition on essential submodules, FI-extending, WFI-extending

Article
30 June 2021

On the Spectrum Discreteness for the Magnetic Schrödinger Operator on Quantum Graphs

Igor Y. Popov and Anna G. Belolipetskaia

Kyungpook Mathematical Journal 2021; 61: 249-255

The aim of this work is to study the discreteness of the spectrum of the Schröodinger operator on infinite quantum graphs in a magnetic field. The problem was solved on a set of quantum graphs of a special kind.
Key Words:

quantum graph, spectrum, magnetic field

Article
30 June 2021

Algorithm of Common Solutions to the Cayley Inclusion and Fixed Point Problems

Aadil Hussain Dar, Mohammad Kalimuddin Ahmad, Javid Iqbal and Waseem Ali Mir

Kyungpook Mathematical Journal 2021; 61: 257-267

In this paper, we develop an iterative algorithm for obtaining common solutions to the Cayley inclusion problem and the set of fixed points of a non-expansive mapping in Hilbert spaces. A numerical example is given for the justification of our claim....
Key Words:

resolvent operator, Cayley operator, Cayley inclusion, fixed point, algorithm

Article
30 June 2021

Coefficient Bounds for a Subclass of Harmonic Mappings Convex in One Direction

Mohammad Mehdi Shabani, Maryam Yazdi, Saeed Hashemi Sababe

Kyungpook Mathematical Journal 2021; 61: 269-278

In this paper, we investigate harmonic univalent functions convex in the direction 𝜃 , for 𝜃 ∈ [0,π) . We find bounds for |fz(z)|,
Key Words:

harmonic, univalent, convex, shear construction

Article
30 June 2021

Generalized ψ-Geraghty-Zamfirescu Contraction Pairs in b-metric Spaces

José R. Morales, Edixon M. Rojas

Kyungpook Mathematical Journal 2021; 61: 279-308

The purpose of this paper is to introduce a class of contractive pairs of mappings satisfying a Zamfirescu-type inequality, but controlled with altering distance functions and with parameters satisfying the so-called Geraghty condition in the framewo...
Key Words:

coincidence points, Jungck-type iterative schemes, convergence, stability, common fixed points

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