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

Mathematics

This paper is concerned with a multi-dimensional attraction-repulsion chemotaxis system with nonlinear sensitive functions. A corresponding free bound...

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This paper, titled "A Hopf bifurcation of multidimensional attraction-repulsion chemotaxis system with nonlinear sensitive functions," delves into a c...

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Nusrat Ahmad Dar, Idrees Qasim, Abdul Liman

Some lower bound estimates for the generalized derivative of a polynomial

Mathematics

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 polynomial...

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This paper presents a significant extension of an inequality concerning polynomials with restricted zeros, initially established by Rather et al. The...

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Younes El Haddaoui, Hwankoo Kim, Najib Mahdou

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

Mathematics

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 $0$, $...

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The paper "On the weak global dimension of a subclass of Pr\"ufer non-coherent rings" addresses a fundamental question in commutative algebra by inves...

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Jongbaek Song

Iterated weighted projective space fibrations and toric orbifolds

Mathematics

We generalize classical generalized Bott towers to orbifolds using weighted projectivizations of line bundles, which we call \emph{weighted projective...

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This paper introduces the concept of "weighted projective towers," a significant generalization of classical generalized Bott towers adapted for orbif...

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Sajjad Khan, Choonkil Park

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

Mathematics

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 homom...

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The paper's title clearly articulates its focus on the Hyers-Ulam stability of specific mappings within fuzzy algebraic structures. The abstract indic...

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Sun Shin Ahn, Young Joo Seo, Young Bae Jun

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

Mathematics

The aim of this paper is to generalize Lukasiewicz fuzzy subalgebras in BCK/BCI-algebras. First, the concept of (α,ϵ)-Lukasiewicz fuzzy subalgebras us...

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This paper presents a significant theoretical advancement in the field of fuzzy algebraic structures by introducing and thoroughly investigating the c...

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Murugusundaramoorthy Gangadharan

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

Mathematics

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 Zet...

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This paper presents a novel exploration within the field of geometric function theory, specifically focusing on the class of bi-univalent functions. T...

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The paper "Univariate polynomials of consecutive degrees that form a SAGBI basis" addresses a specific and fundamental problem in computational algebr...