Korean Journal of Mathematics
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Korean Journal of Mathematics

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The Korean Journal of Mathematics

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Articles in this Journal

A Hopf bifurcation of multidimensional attraction-repulsion chemotaxis system with nonlinear sensitive functions

This paper is concerned with a multi-dimensional attraction-repulsion chemotaxis system with nonlinear sensitive functions. A corresponding free boundary problem is derived, and proved the existence of stationary solutions and Hopf bifurcation which...

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Some lower bound estimates for the generalized derivative of a polynomial

If $P(z)$ is a polynomial of degree $n$ having all its zeros in $\left|z\right|\leq k, k\leq 1$, then Rather et al. ( Some inequalities for polynomials with restricted zeros, Ann. Univ. Ferrara, 67 (2021), 183-189.) proved that for all $z$ on $\left|...

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On the weak global dimension of a subclass of Pr\"ufer non-coherent rings

It is known that if $R$ is a coherent Pr\"ufer ring, which is necessarily a Gaussian ring, then its weak global dimension w.gl.dim($R$) must be $0$, $1$, or $\infty$. In this paper, we investigate the possible values of the weak global dimension for...

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Iterated weighted projective space fibrations and toric orbifolds

We generalize classical generalized Bott towers to orbifolds using weighted projectivizations of line bundles, which we call \emph{weighted projective towers}. From the perspective of toric topology, such a space can be constructed from a product of...

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Hyers-Ulam stability of fuzzy Hilbert $C^{*}$-module homomorphisms and fuzzy Hilbert $C^{*}$-module derivations

In the present paper, we introduce the notion of a fuzzy Hilbert $C^*$-module and study the Hyers-Ulam stability of fuzzy Hilbert $C^{*}$-module homomorphisms and fuzzy Hilbert $C^{*}$-module derivations in fuzzy Hilbert $C^*$-modules using the fixed...

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Generalized Lukasiewicz fuzzy subalgebras of BCI-algebras and BCK-algebras

The aim of this paper is to generalize Lukasiewicz fuzzy subalgebras in BCK/BCI-algebras. First, the concept of (α,ϵ)-Lukasiewicz fuzzy subalgebras using fuzzy points is defined and examples to explain it are given, and then several properties are in...

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Bi-Bazilevic functions based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution

In this paper, we introduce and investigate new subclass of bi-univalent functions defined in the open unit disk, which are based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution , satisfying subordinate conditions. Furt...

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Univariate polynomials of consecutive degrees that form a SAGBI basis

In this paper, we provide necessary and sufficient conditions for polynomials of consecutive degrees that form a SAGBI basis in the univariate polynomial ring. The special case of three polynomials with consecutive degrees is also considered.

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