Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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2022-01-31
Yamabe and Riemann solitons on Lorentzian para-Sasakian manifolds
Shruthi Chidananda, Venkatesha VenkateshaAbstract : In the present paper, we aim to study Yamabe soliton and Riemann soliton on Lorentzian para-Sasakian manifold. First, we proved, if the scalar curvature of an $eta$-Einstein Lorentzian para-Sasakian manifold $M$ is constant, then either $ au=n(n-1)$ or, $ au=n-1$. Also we constructed an example to justify this. Next, it is proved that, if a three dimensional Lorentzian para-Sasakian manifold admits a Yamabe soliton for $V$ is an infinitesimal contact transformation and $tr, varphi$ is constant, then the soliton is expanding. Also we proved that, suppose a $3$-dimensional Lorentzian para-Sasakian manifold admits a Yamabe soliton, if $tr,varphi$ is constant and scalar curvature $ au$ is harmonic (i.e., $Delta au =0$), then the soliton constant $lambda$ is always greater than zero with either $ au=2$, or $ au=6$, or $lambda=6$. Finally, we proved that, if an $eta$-Einstein Lorentzian para-Sasakian manifold $M$ represents a Riemann soliton for the potential vector field $V$ has constant divergence then either, $M$ is of constant curvature $1$ or, $V$ is a strict infinitesimal contact transformation.
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2023-01-31
Some functional identities arising from derivations
Abdellah Mamouni, Lahcen Oukhtite, Mohammed ZerraAbstract : This paper considers some functional identities related to derivations of a ring $R$ and their action on the centre of $R/P$ where $P$ is a prime ideal of $R.$ It generalizes some previous results that are in the same spirit. Finally, examples proving that our restrictions cannot be relaxed are given.
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2022-07-31
Miao-Tam equation on almost coK"{a}hler manifolds
Tarak MandalAbstract : In the present paper, we have studied Miao-Tam equation on three dimensional almost coK"{a}hler manifolds. We have also proved that there does not exist non-trivial solution of Miao-Tam equation on the said manifolds if the dimension is greater than three. Also we give an example to verify the deduced results.
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2022-01-31
Sharp coefficient inequalities for certain subclasses of bi-univalent Bazileviv{c} functions
Amol Bhausaheb PatilAbstract : In the present paper, we introduce the subclasses $mathfrak{B}_{1Sigma}(mu)$, $mathrm{B}_{1Sigma}(mu,gamma)$ and $mathit{U}_{Sigma}(mu,gamma)$ of bi-univalent Bazileviv{c} functions which are defined in the open unit disk $mathbb{D}$. Further, we obtain sharp estimates on initial coefficients $a_2$, $a_3$, $a_4$ and also sharp estimate on the Fekete-Szeg"{o} functional $a_3-k{a}_{2}^{2}$ for the functions belong to these subclasses.
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2022-04-30
Geometric properties on $(j,k)$-symmetric functions related to starlike and convex function
Priyabrat Gochhayat, Anuja PrajapatiAbstract : For $j=0,1,2,ldots,k-1;~~kgeq 2;~ ext{and}~-1leq B
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2022-04-30
Co-uniform and hollow $S$-acts over monoids
Roghaieh Khosravi, Mohammad RoueentanAbstract : In this paper, we first introduce the notions of superfluous and coessential subacts. Then hollow and co-uniform $S$-acts are defined as the acts that all proper subacts are superfluous and coessential, respectively. Also it is indicated that the class of hollow $S$-acts is properly between two classes of indecomposable and locally cyclic $S$-acts. Moreover, using the notion of radical of an $S$-act as the intersection of all maximal subacts, the relations between hollow and local $S$-acts are investigated. Ultimately, the notion of a supplement of a subact is defined to characterize the union of hollow $S$-acts.
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2022-01-31
Decompositions of graded maximal submodules
Fida Moh'dAbstract : In this paper, we present different decompositions of graded maximal submodules of a graded module. From these decompositions, we derive decompositions of the graded Jacobson radical of a graded module. Using these decompositions, we prove new theorems about graded maximal submodules, improve old theorems, and give other proofs for old theorems.
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2022-07-31
A translation of an analogue of Wiener space with its applications on their product spaces
Dong Hyun ChoAbstract : Let $C[0,T]$ denote an analogue of Weiner space, the space of real-valued continuous on $[0,T]$. In this paper, we investigate the translation of time interval $[0,T]$ defining the analogue of Winer space $C[0,T]$. As applications of the result, we derive various relationships between the analogue of Wiener space and its product spaces. Finally, we express the analogue of Wiener measures on $C[0,T]$ as the analogue of Wiener measures on $C[0,s]$ and $C[s,T]$ with $0
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2022-04-30
Time-frequency analysis associated with k-Hankel-Wigner transforms
Mohamed Amine BoubatraAbstract : In this paper, we introduce the k-Hankel-Wigner transform on $mathbb{R}$ in some problems of time-frequency analysis. As a first point, we present some harmonic analysis results such as Plancherel's, Parseval's and an inversion formulas for this transform. Next, we prove a Heisenberg's uncertainty principle and a Calder'on's reproducing formula for this transform. We conclude this paper by studying an extremal function for this transform.
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2022-07-31
Fekete-Szeg"{o} inequalities for a new general subclass of analytic functions involving the $left( p,qight)$-derivative operator
Serap BulutAbstract : In this work, we introduce a new subclass of analytic functions of complex order involving the $left( p,qight) $-derivative operator defined in the open unit disc. For this class, several Fekete-Szeg"{o} type coefficient inequalities are derived. We obtain the results of Srivastava extit{et al.~}cite{SR} as consequences of the main theorem in this study.
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On Noetherian pseudo-prime spectrum of a topological le-module
Anjan Kumar Bhuniya, Manas Kumbhakar
Commun. Korean Math. Soc. 2023; 38(1): 1-9
https://doi.org/10.4134/CKMS.c210057 -
Pascal's hexagon theorem reproved by elementary tools only
Insong Choe
Commun. Korean Math. Soc. 2022; 37(4): 989-993
https://doi.org/10.4134/CKMS.c210397 -
A note on discrete semigroups of bounded linear operators on non-archimedean Banach spaces
Aziz Blali, Abdelkhalek El Amrani, Jawad Ettayb
Commun. Korean Math. Soc. 2022; 37(2): 409-414
https://doi.org/10.4134/CKMS.c210039 -
Note on the multifractal measures of Cartesian product sets
Najmeddine Attia, Rihab Guedri, Omrane Guizani
Commun. Korean Math. Soc. 2022; 37(4): 1073-1097
https://doi.org/10.4134/CKMS.c210350
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Energy decay for a viscoelastic equation with Balakrishnan-Taylor damping involving infinite memory and nonlinear time-varying delay terms in dynamical boundary
soufiane Benkouider, Abita Rahmoune
Commun. Korean Math. Soc. 2023; 38(3): 943-966
https://doi.org/10.4134/CKMS.c220225 -
A study of differential identities on $\sigma$-prime rings
Adnan Abbasi, Md Arshad Madni, Muzibur Rahman Mozumder
Commun. Korean Math. Soc. 2023; 38(3): 679-693
https://doi.org/10.4134/CKMS.c220240 -
$\star$-conformal Ricci solitons on almost coK\"{a}hler manifolds
Tarak Mandal, Avijit Sarkar
Commun. Korean Math. Soc. 2023; 38(3): 865-880
https://doi.org/10.4134/CKMS.c220145 -
Areas of polygons with vertices from Lucas sequences on a plane
SeokJun Hong, SiHyun Moon, Ho Park, SeoYeon Park, SoYoung Seo
Commun. Korean Math. Soc. 2023; 38(3): 695-704
https://doi.org/10.4134/CKMS.c220245
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