Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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2024-04-30
On the convergence of Ishikawa iteration with errors for real continuous functions
Kittithat Boonpot, Satit SaejungAbstract : We point out an error appeared in the paper of Yuan et al.~\cite{YCQ} and present a correction of their result under a more general assumption. Moreover, we discuss the validity of the conditions imposed on the sequences of error terms.
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2024-04-30
When every finitely generated regular ideal is finitely presented
MOHAMED CHHITI, SALAH EDDINE MAHDOUAbstract : In this paper, we introduce a weak version of coherent that we call regular coherent property. A ring is called regular coherent, if every finitely generated regular ideal is finitely presented. We investigate the stability of this property under localization and homomorphic image, and its transfer to various contexts of constructions such as trivial ring extensions, pullbacks and amalgamated. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.
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2024-04-30
A generalization of the symmetry property of a ring via its endomorphism
Fatma Kaynarca
, H. Melis Tekin Akcin Abstract : Lambek introduced the concept of symmetric rings to expand the commutative ideal theory to noncommutative rings. In this study, we propose an extension of symmetric rings called strongly $\alpha$-symmetric rings, which serves as both a generalization of strongly symmetric rings and an extension of symmetric rings. We define a ring $R$ as strongly $\alpha$-symmetric if the skew polynomial ring $R[x;\alpha]$ is symmetric. Consequently, we provide proofs for previously established outcomes regarding symmetric and strongly symmetric rings, directly derived from the results we have obtained. Furthermore, we explore various properties and extensions of strongly $\alpha$-symmetric rings.
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2024-04-30
Chooser options on various underlying options
Wonjoong Kim, JINYOUNG LEEAbstract : We consider chooser options written on various underlying assets other than vanilla call and put options. Specifically, we deal with (i) the chooser option written on the power call and put options, and (ii) the chooser option written on the exchange options. We provide explicit formulas for the prices of these chooser options whose underlying assets are either power options or exchange options, rather than the vanilla call and put options.
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2024-04-30
Unsteady flow of Bingham fluid in a two dimensional elastic domain
Mosbah Kaddour, Farid Messelmi, Saf SalimAbstract : The main goal of this work is to study an initial boundary value problem relating to the unsteady flow of a rigid, viscoplastic, and incompressible Bingham fluid in an elastic bounded domain of $\mathbb{R}^{2}$. By using the approximation sequences of the Faedo-Galerkin method together with the regularization techniques, we obtain the results of the existence and uniqueness of local solutions.
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Convergence of sequences in generalized topological spaces via filter
Julio C. Ramos-Fernández, Ennis Rosas, Margot Salas-Brown
Commun. Korean Math. Soc. 2023; 38(3): 901-911
https://doi.org/10.4134/CKMS.c220251 -
Local-global principle and generalized local cohomology modules
Bui Thi Hong Cam, Nguyen Minh Tri, Do Ngoc Yen
Commun. Korean Math. Soc. 2023; 38(3): 649-661
https://doi.org/10.4134/CKMS.c220160 -
A note on maximal hypersurfaces in a generalized Robertson-Walker spacetime
Henrique Fernandes de~Lima
Commun. Korean Math. Soc. 2022; 37(3): 893-904
https://doi.org/10.4134/CKMS.c210233 -
Liouville theorems for the multidimensional fractional Bessel operators
Vanesa Galli, Sandra Molina, Alejandro Quintero
Commun. Korean Math. Soc. 2022; 37(4): 1099-1129
https://doi.org/10.4134/CKMS.c210361
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Some results on the geometry of a non-conformal deformation of a metric
Nour Elhouda Djaa, Abderrahim Zagane
Commun. Korean Math. Soc. 2022; 37(3): 865-879
https://doi.org/10.4134/CKMS.c210207 -
Generalized Fourier--Feynman transforms and convolutions for exponential type functions of generalized Brownian motion paths
Jae Gil Choi
Commun. Korean Math. Soc. 2023; 38(4): 1141-1151
https://doi.org/10.4134/CKMS.c230005 -
Two linear polynomials shared by an entire function and its linear differential polynomials
Goutam Kumar Ghosh
Commun. Korean Math. Soc. 2023; 38(2): 377-387
https://doi.org/10.4134/CKMS.c210303 -
On the structure of a $k$-annihilating ideal hypergraph of commutative rings
Shaymaa S. Essa, Husam Q. Mohammad
Commun. Korean Math. Soc. 2023; 38(1): 55-67
https://doi.org/10.4134/CKMS.c210427
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