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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 2023

Criteria for Algebraic Operators to be Unitary

Zenon Jan JabŁoński and Jan Stochel, Il Bong Jung*

Kyungpook Mathematical Journal 2023; 63: 1-10

Criteria for an algebraic operator T on a complex Hilbert space H to be unitary are establish...
Key Words:

Algebraic operator, unitary operator, normaloid operator, strong stability

Article
31 March 2023

Noether Normalization Implies Full Form of Hilbert Nullstellensatz Theorem

Alborz Azarang

Kyungpook Mathematical Journal 2023; 63: 11-13

We give a new proof for the full form of Hilbert’s Nullstellensatz based on on integral extension and Noether’s Normalization Lemma.
Key Words:

Field, Noether Normalization

Article
31 March 2023

Purely Extending Modules and Their Generalizations

Shiv Kumar and Ashok Ji Gupta

Kyungpook Mathematical Journal 2023; 63: 15-27

A purely extending module is a generalization of an extending module. In this paper, we study several properties of purely extending modules and introduce the notion of purely essentially Baer modules. A module M is said to be a pure...
Key Words:

Extending module, Flat module, Purely extending module, Purely Baer module, Purely essentially Baer module

Article
31 March 2023

On Two Versions of Cohen's Theorem for Modules

Xiaolei Zhang and Wei Qi, Hwankoo Kim∗

Kyungpook Mathematical Journal 2023; 63: 29-36

Parkash and Kour obtained a new version of Cohen's theorem for Noetherian modules, which states that a finitely generated R-module M is Noetherian if and only if for every prime ideal 𝔭 of R ...
Key Words:

Cohen's theorem, S-Noetherian modules, w-Noetherian modules.

Article
31 March 2023

On the Local Cohomology and Formal Local Cohomology Modules

Shahram Rezaei and Behruz Sadeghi

Kyungpook Mathematical Journal 2023; 63: 37-43

Let 𝔞 and 𝔟 be ideals of a commutative Noetherian ring R and M be a finitely generated R-module of dimension d>0. We prove some results concerning the top local cohom...
Key Words:

formal local cohomology, local cohomology

Article
31 March 2023

On ϑ-quasi-Geraghty Contractive Mappings and Application to Perturbed Volterra and Hypergeometric Operators

Olalekan Taofeek Wahab

Kyungpook Mathematical Journal 2023; 63: 45-60

In this paper we suggest an enhanced Geraghty-type contractive mapping for examining the existence properties of classical nonlinear operators with or without prior degenerates. The nonlinear operators are proved to exist with the imposition of the ...
Key Words:

ϑ-quasi-Geraghty map, semi-continuous functions, perturbed Volterra-type operator, hypergeometric operator, Pochhammer symbol

Article
31 March 2023

Some Geometric Constants Related to the Heights and Midlines of Triangles in Banach Spaces

Dandan Du, Yuankang Fu, Zhijian Yang and Yongjin Li

Kyungpook Mathematical Journal 2023; 63: 61-78

In this paper, we introduce two new geometric constants related to the heights of triangles: ΔH(
Key Words:

uniform non-squareness, uniform normal structure, fixed point property

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