Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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2022-10-31
Golden para-contact metric manifolds
Gherici Beldjilali, Habib BouzirAbstract : The purpose of the present paper is to introduce a new class of almost para-contact metric manifolds namely, Golden para-contact metric manifolds. Then, we are particularly interested in a more special type called Golden para-Sasakian manifolds, where we will study their fundamental properties and we present many examples which justify their study.
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2023-07-31
Certain study of generalized $B$ curvature tensor within the framework of Kenmotsu manifold
Rahuthanahalli Thimmegowda Naveen Kumar, Basavaraju Phalaksha Murthy, Puttasiddappa Somashekhara, Venkatesha VenkateshaAbstract : In the present study, we consider some curvature properties of generalized $B$-curvature tensor on Kenmotsu manifold. Here first we describe certain vanishing properties of generalized $B$ curvature tensor on Kenmostu manifold. Later we formulate generalized $B$ pseudo-symmetric condition on Kenmotsu manifold. Moreover, we also characterize generalized $B$ $\phi$-recurrent Kenmotsu manifold.
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2022-07-31
A note on maximal hypersurfaces in a generalized Robertson-Walker spacetime
Henrique Fernandes de~LimaAbstract : In this note, we apply a maximum principle related to vo-lu-me growth of a complete noncompact Riemannian manifold, which was recently obtained by Al'{i}as, Caminha and do Nascimento in~cite{Alias-Caminha-Nascimento}, to es-ta-blish new uniqueness and nonexistence results concerning maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker (GRW) spacetime obeying the timelike convergence condition. A study of entire solutions for the maximal hypersurface equation in GRW spacetimes is also made and, in particular, a new Calabi-Bernstein type result is presented.
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2023-07-31
Convergence of sequences in generalized topological spaces via filter
Julio C. Ramos-Fernández, Ennis Rosas, Margot Salas-BrownAbstract : In this paper a generalization of convergent sequences in connection with generalized topologies and filters is given. Additionally, properties such as uniqueness, behavior related to continuous functions are established and notions relative to product spaces.
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2023-07-31
Local-global principle and generalized local cohomology modules
Bui Thi Hong Cam, Nguyen Minh Tri, Do Ngoc YenAbstract : Let $\mathcal{M}$ be a stable Serre subcategory of the category of $R$-modules. We introduce the concept of $\mathcal{M}$-minimax $R$-modules and investigate the local-global principle for generalized local cohomology modules that concerns to the $\mathcal{M}$-minimaxness. We also provide the $\mathcal{M}$-finiteness dimension $f^{\mathcal{M}}_I(M,N)$ of $M,N$ relative to $I$ which is an extension the finiteness dimension $f_I(N)$ of a finitely generated $R$-module $N$ relative to $I$.
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2023-10-31
Nonlinear maps preserving the mixed product $_*[X\diamond Y, Z]$ on $*$-algebras
Raof Ahmad Bhat, Abbas Hussain Shikeh, Mohammad Aslam SiddeequeAbstract : Let $\mathfrak{A}$ and $\mathfrak{B}$ be unital prime $*$-algebras such that $\mathfrak{A}$ contains a nontrivial projection. In the present paper, we show that if a bijective map $\Theta:\mathfrak{A}\to\mathfrak{B}$ satisfies $\Theta(_*[X\diamond Y, Z])={}_*[\Theta(X)\diamond \Theta(Y), \Theta(Z)]$ for all $X, Y, Z\in\mathfrak{A}$, then $\Theta$ or $-\Theta$ is a $*$-ring isomorphism. As an application, we shall characterize such maps in factor von Neumann algebras.
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2023-01-31
On covering and quotient maps for $\mathcal{I}^{\mathcal{K}}$-convergence in topological spaces
Debajit Hazarika, Ankur SharmahAbstract : In this article, we show that the family of all $\mathcal{I}^\mathcal{K}$-open subsets in a topological space forms a topology if $\mathcal{K}$ is a maximal ideal. We introduce the notion of $\mathcal{I}^\mathcal{K}$-covering map and investigate some basic properties. The notion of quotient map is studied in the context of $\mathcal{I}^\mathcal{K}$-convergence and the relationship between $\mathcal{I}^\mathcal{K}$-continuity and $\mathcal{I}^\mathcal{K}$-quotient map is established. We show that for a maximal ideal $\mathcal{K}$, the properties of continuity and preserving $\mathcal{I}^\mathcal{K}$-convergence of a function defined on $X$ coincide if and only if $X$ is an $\mathcal{I}^\mathcal{K}$-sequential space.
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2022-10-31
Liouville theorems for the multidimensional fractional Bessel operators
Vanesa Galli, Sandra Molina, Alejandro QuinteroAbstract : In this paper, we establish Liouville type theorems for the fractional powers of multidimensional Bessel operators extending the results given in \cite{GMQ18}. In order to do this, we consider the distributional point of view of fractional Bessel operators studied in \cite{Mo18}.
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2023-07-31
Existence and nonexistence of solutions for a class of Hamiltonian strongly degenerate elliptic system
Nguyen Viet TuanAbstract : In this paper, we study the existence and nonexistence of solutions for a class of Hamiltonian strongly degenerate elliptic system with subcritical growth \begin{equation*} \begin{cases} -\Delta_\lambda u -\mu v =|v|^{p-1}v &\;\text{ in } \Omega,\\ -\Delta_\lambda v -\mu u=|u|^{q-1}u &\;\text{ in } \Omega,\\ u = v = 0 &\;\text{ on } \partial\Omega, \end{cases} \end{equation*} where $p, q>1$ and $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$, $N\ge 3$. Here $\Delta_\lambda$ is the strongly degenerate elliptic operator. The existence of at least a nontrivial solution is obtained by variational methods while the nonexistence of positive solutions are proven by a contradiction argument.
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2023-04-30
H-quasi-hemi-slant submersions
Sumeet Kumar, Sushil Kumar, Rajendra Prasad, Aysel Turgut VanliAbstract : In this paper, h-quasi-hemi-slant submersions and almost h-quasi-hemi-slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds are introduced. Fundamental results on h-quasi-hemi-slant submersions: the integrability of distributions, geometry of foliations and the conditions for such submersions to be totally geodesic are investigated. Moreover, some non-trivial examples of the h-quasi-hemi-slant submersion are constructed.
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The independence and independent dominating numbers of the total graph of a finite commutative ring
Baha' Abughazaleh, Omar AbedRabbu Abughneim
Commun. Korean Math. Soc. 2022; 37(4): 969-975
https://doi.org/10.4134/CKMS.c210348 -
Simple formulations on circulant matrices with alternating Fibonacci
Sugi Guritman
Commun. Korean Math. Soc. 2023; 38(2): 341-354
https://doi.org/10.4134/CKMS.c220110 -
Hyers-Ulam stability of fractional stochastic differential equations with random impulse
Dumitru Baleanu, Banupriya Kandasamy, Ramkumar Kasinathan, Ravikumar Kasinathan, Varshini Sandrasekaran
Commun. Korean Math. Soc. 2023; 38(3): 967-982
https://doi.org/10.4134/CKMS.c220231 -
Sharp estimates on the third order Hermitian-Toeplitz determinant for Sakaguchi classes
Sushil Kumar, Virendra Kumar
Commun. Korean Math. Soc. 2022; 37(4): 1041-1053
https://doi.org/10.4134/CKMS.c210332
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Approximately local derivations on $\ell^{1}$-Munn algebras with applications to semigroup algebras
Ahmad Alinejad, Morteza Essmaili, Hatam Vahdati
Commun. Korean Math. Soc. 2023; 38(4): 1101-1110
https://doi.org/10.4134/CKMS.c220364 -
On graded $N$-irreducible ideals of commutative graded rings
Anass Assarrar, Najib Mahdou
Commun. Korean Math. Soc. 2023; 38(4): 1001-1017
https://doi.org/10.4134/CKMS.c230004 -
Multiplicity results of critical local equation related to the genus theory
M. Alimohammady, A. Rezvani, C. Tunc
Commun. Korean Math. Soc. 2023; 38(4): 1045-1061
https://doi.org/10.4134/CKMS.c220308 -
On graded $(m, n)$-closed submodules
Rezvan Varmazyar
Commun. Korean Math. Soc. 2023; 38(4): 993-999
https://doi.org/10.4134/CKMS.c220338
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