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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 2024

Minimal Generators of Syzygy Modules Via Matrices

Haohao Wang* and Peter Oman

Kyungpook Mathematical Journal 2024; 64: 197-204

Let R = K[x] be a univariate polynomial ring over an algebraically closed field K of char...
Key Words:

Smith Normal Form, Cauchy-Binet Formula, Basis, Modules

Article
30 June 2024

The G-Drazin Inverse of an Operator Matrix over Banach Spaces

Farzaneh Tayebi, Nahid Ashrafi and Rahman Bahmani, Marjan Sheibani Abdolyousefi*

Kyungpook Mathematical Journal 2024; 64: 205-218

Let A be a Banach algebra. An element
Key Words:

generalized Drazin inverse, additive property, operator matrix, spectral idempotent

Article
30 June 2024

Generalized Fourier–Feynman Transform of Bounded Cylinder Functions on the Function Space Ca,b[0, T]

Jae Gil Choi

Kyungpook Mathematical Journal 2024; 64: 219-233

In this paper, we study the generalized Fourier–Feynman transform (GFFT) for functions on the general Wiener space Ca,b[0, T]. We establish an explicit evaluation formula for the analytic GFFT of bounded cylinder functi...
Key Words:

generalized Brownian motion process, general Wiener space, generalized analytic Feynman integral, generalized analytic Fourier–Feynman transform, cylinder function

Article
30 June 2024

On The Sets of f−Strongly Cesàro Summable Sequences

Ibrahim Sulaiman Ibrahim*, Rifat Çolak

Kyungpook Mathematical Journal 2024; 64: 235-244

In this paper, we establish relations between the sets of strongly Cesàro summable sequences of complex numbers for modulus functions f and g satisfying various conditions. Furthermore, for some special modulus functions, we obta...
Key Words:

Natural density, Modulus function, Statistical convergence, Strong Cesàro summability

Article
30 June 2024

Anisotropic Variable Herz Spaces and Applications

Aissa Djeriou∗ and Rabah Heraiz

Kyungpook Mathematical Journal 2024; 64: 245-260

In this study, we establish some new characterizations for a class of anisotropic Herz spaces in which all exponents are considered as variables. We also provide a description of these spaces based on bloc decomposition. As an application, we investi...
Key Words:

Anisotropic Herz space, variable exponents, bloc decomposition, sublinear operator

Article
30 June 2024

Generalized η-Ricci Solitons on Kenmotsu Manifolds associated to the General Connection

Shahroud Azami

Kyungpook Mathematical Journal 2024; 64: 261-270

In this paper, we consider generalized η-Ricci solitons associated to the general connection on Kenmotsu manifolds. We confirm the existence of such solitons by constructing a non-trivial example, and we obtain some properties of Kenmotsu manifol...
Key Words:

Kenmotsu manifolds, generalized η-Ricci soliton, General connection

Article
30 June 2024

Existence Results for an Nonlinear Variable Exponents Anisotropic Elliptic Problems

Mokhtar Naceri

Kyungpook Mathematical Journal 2024; 64: 271-286

In this paper, we prove the existence of distributional solutions in the anisotropic Sobolev space W∘
Key Words:

Variable exponents, Nonlinear, Anisotropic elliptic equations, Lebesgue-Sobolev spaces, Distributional solution, Existence

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