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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 2020

On the Representations of Finite Distributive Lattices

Mark Siggers

Kyungpook Mathematical Journal 2020; 60: 1-20

A simple but elegant result of Rival states that every sublattice L of a finite distributive lattice ℘ can be constructed from ℘ by removing a particular family ℐL of its irreducible int...

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A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functionfinite distributive lattice, representation, embedding, product of chains.

Article
31 March 2020

The Leavitt Path Algebras of Ultragraphs

Mostafa Imanfar and Abdolrasoul Pourabbas∗, Hossein Larki

Kyungpook Mathematical Journal 2020; 60: 21-43

We introduce the Leavitt path algebras of ultragraphs and we characterize their ideal structures. We then use this notion to introduce and study the algebraic analogy of Exel-Laca algebras.

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A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functionultragraph C-algebra, Leavitt path algebra, Exel-Laca algebra.

Article
31 March 2020

On Generalized FI-extending Modules

Canan Celep Yücel

Kyungpook Mathematical Journal 2020; 60: 44-51

A module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of M. In this work, we define a module M to be ...

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A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functionfully invariant submodule, FI-extending, GFI-extending.

Article
31 March 2020

Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from

David Earl Dobbs

Kyungpook Mathematical Journal 2020; 60: 53-69

Let (A,M) ⊂ (B,N) be commutative quasi-local rings. We consider the property that there exists a ring D such that ADB-->

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A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functioncommutative ring, ring extension, minimal ring extension, inert extension, maximal ideal, minimal field extension, quasi-local ring, integrality, pullback.

Article
31 March 2020

Quasi-reversibility of the Ring of 2×2 Matrices over an Arbitrary Field

Dariush Heidari∗, Bijan Davvaz

Kyungpook Mathematical Journal 2020; 60: 71-72

A ring R is quasi-reversible if 0 ≠ abI(R) for a, bR implies ba-->

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A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functionquasi-reversible ring, matrix ring.

Article
31 March 2020

Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments

Hari Mohan Srivastava

Kyungpook Mathematical Journal 2020; 60: 73-116

The subject of fractional calculus (that is, the calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past over four decades, due mainly to its demonstrated appl...

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A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functionfractional calculus, fractional-order integrals, fractional-order derivatives, differential equations, Integral equations, Cauchy-Goursat integral formula, differintegral equations, special functions, mathematical physics, Fuchsian and

Article
31 March 2020

The Maximal Ideal Space of Extended Differentiable Lipschitz Algebras

Mohammad Ali Abolfathi∗ and Ali Ebadian

Kyungpook Mathematical Journal 2020; 60: 117-125

In this paper, we first introduce new classes of Lipschitz algebras of infinitely differentiable functions which are extensions of the standard Lipschitz algebras of infinitely differentiable functions. Then we determine the maximal ideal space of...

Key Words:

A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric FunctionBanach function algebra, differentiable Lipschitz algebras, extended Lipschitz algebra, maximal ideal space, rational functions. This work was supported by Urmia University.

Current Issuess Volume 60, Number 1