Journal of the
Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
Most Read
HOME
VIEW ARTICLES
Most Read
VIEW ARTICLES
Most Read
-
2022-07-01
Gorenstein quasi-resolving subcategories
Weiqing Cao, Jiaqun WeiAbstract : In this paper, we introduce the notion of Gorenstein quasi-resolving subcategories (denoted by $\mathcal{GQR}_{\mathcal{X}}(\mathcal{A})$) in term of quasi-resolving subcategory $\mathcal{X}$. We define a resolution dimension relative to the Gorenstein quasi-resolving categories $\mathcal{GQR}_{\mathcal{X}}(\mathcal{A})$. In addition, we study the stability of $\mathcal{GQR}_{\mathcal{X}}(\mathcal{A})$ and apply the obtained properties to special subcategories and in particular to modules categories. Finally, we use the restricted flat dimension of right $B$-module $M$ to characterize the finitistic dimension of the endomorphism algebra $B$ of a $\mathcal{GQ}_{\mathcal{X}}$-projective $A$-module $M$.
-
2023-11-01
On nonnil-exact sequences and nonnil-commutative diagrams
Wei Zhao, De chuan ZhouAbstract : In this paper, we investigate the nonnil-exact sequences and nonnil-commutative diagrams and show that they behave in a way similar to the classical ones in Abelian categories.
-
2023-11-01
The Bongartz's theorem of Gorenstein cosilting complexes
Hailou Yao, Qianqian YuanAbstract : We describe the Gorenstein derived categories of Gorenstein rings via the homotopy categories of Gorenstein injective modules. We also introduce the concept of Gorenstein cosilting complexes and study its basic properties. This concept is generalized by cosilting complexes in relative homological methods. Furthermore, we investigate the existence of the relative version of the Bongartz's theorem and construct a Bongartz's complement for a Gorenstein precosilting complex.
-
2024-03-01
Multiple weighted estimates for multilinear commutators of multilinear singular integrals with generalized kernels
Liwen Gao, Yan Lin, Shuhui YangAbstract : In this paper, the weighted $L^{p}$ boundedness of multilinear commutators and multilinear iterated commutators generated by the multilinear singular integral operators with generalized kernels and BMO functions is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini kernels under certain conditions.
-
2024-03-01
Stress-energy tensor of the traceless Ricci tensor and Einstein-type manifolds
Gabjin YunAbstract : In this paper, we introduce the notion of stress-energy tensor $Q$ of the traceless Ricci tensor for Riemannian manifolds $(M^n, g)$, and investigate harmonicity of Riemannian curvature tensor and Weyl curvature tensor when $(M, g)$ satisfies some geometric structure such as critical point equation or vacuum static equation for smooth functions.
-
2024-01-01
Rigidity and nonexistence of Riemannian immersions in semi-Riemannian warped products via parabolicity
Railane Antonia, Henrique de Lima, Márcio SantosAbstract : In this paper, we study complete Riemannian immersions into a semi-Riemannian warped product obeying suitable curvature constraints. Under appropriate differential inequalities involving higher order mean curvatures, we establish rigidity and nonexistence results concerning these immersions. Applications to the cases that the ambient space is either an Einstein manifold, a steady state type spacetime or a pseudo-hyperbolic space are given, and a particular investigation of entire graphs constructed over the fiber of the ambient space is also made. Our approach is based on a pa\-ra\-bo\-li\-ci\-ty criterion related to a linearized differential operator which is a divergence-type operator and can be regarded as a natural extension of the standard Laplacian.
-
2022-11-01
A new optimal eighth-order family of multiple root finders
Dejan \'Cebi\'c
, Neboj\v sa M. Ralevi\'cAbstract : This paper presents a new optimal three-step eighth-order family of iterative methods for finding multiple roots of nonlinear equations. Different from the all existing optimal methods of the eighth-order, the new iterative scheme is constructed using one function and three derivative evaluations per iteration, preserving the efficiency and optimality in the sense of Kung-Traub's conjecture. Theoretical results are verified through several standard numerical test examples. The basins of attraction for several polynomials are also given to illustrate the dynamical behaviour and the obtained results show better stability compared to the recently developed optimal methods.
-
2024-03-01
On the linear independence measures of logarithms of rational numbers. II
Abderraouf Bouchelaghem, Yuxin He, Yuanhang Li, Qiang WuAbstract : In this paper, we give a general method to compute the linear independence measure of $1, \log(1-1/r),\log(1+1/s)$ for infinitely many integers $r$ and $s$. We also give improvements for the special cases when $r=s$, for example, $\nu(1, \log 3/4, \log 5/4) \leq 9.197$.
-
2024-03-01
Shadowing property for ADMM flows
Yoon Mo Jung, Bomi Shin , Sangwoon YunAbstract : There have been numerous studies on the characteristics of the solutions of ordinary differential equations for optimization methods, including gradient descent methods and alternating direction methods of multipliers. To investigate computer simulation of ODE solutions, we need to trace pseudo-orbits by real orbits and it is called shadowing property in dynamics. In this paper, we demonstrate that the flow induced by the alternating direction methods of multipliers (ADMM) for a $C^2$ strongly convex objective function has the eventual shadowing property. For the converse, we partially answer that convexity with the eventual shadowing property guarantees a unique minimizer. In contrast, we show that the flow generated by a second-order ODE, which is related to the accelerated version of ADMM, does not have the eventual shadowing property.
-
2022-11-01
On limit behaviours for Feller's unfair-fair-game and its related model
Jun AnAbstract : Feller introduced an unfair-fair-game in his famous book \cite{Feller-1968}. In this game, at each trial, player will win $2^k$ yuan with probability $p_k=1/2^kk(k+1)$, $k\in \mathbb{N}$, and zero yuan with probability $p_0=1-\sum_{k=1}^{\infty}p_k$. Because the expected gain is 1, player must pay one yuan as the entrance fee for each trial. Although this game seemed ``fair", Feller \cite{Feller-1945} proved that when the total trial number $n$ is large enough, player will loss $n$ yuan with its probability approximate 1. So it's an ``unfair" game. In this paper, we study in depth its convergence in probability, almost sure convergence and convergence in distribution. Furthermore, we try to take $2^k=m$ to reduce the values of random variables and their corresponding probabilities at the same time, thus a new probability model is introduced, which is called as the related model of Feller's unfair-fair-game. We find out that this new model follows a long-tailed distribution. We obtain its weak law of large numbers, strong law of large numbers and central limit theorem. These results show that their probability limit behaviours of these two models are quite different.
- 11
- 12
Most Read
-
Construction of a Mattila--Sj\"{o}lin type function over a finite field
Daewoong Cheong, Jinbeom Kim
J. Korean Math. Soc. 2023; 60(4): 799-822
https://doi.org/10.4134/JKMS.j220333 -
Boundedness of Calder\'{o}n-Zygmund operators on inhomogeneous product Lipschitz spaces
Shaoyong He, Taotao Zheng
J. Korean Math. Soc. 2022; 59(3): 469-494
https://doi.org/10.4134/JKMS.j210115 -
Pseudo-Riemannian Sasaki solvmanifolds
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
J. Korean Math. Soc. 2023; 60(1): 115-141
https://doi.org/10.4134/JKMS.j220232 -
Cup product on relative bounded cohomology
HeeSook Park
J. Korean Math. Soc. 2023; 60(4): 823-833
https://doi.org/10.4134/JKMS.j220345
Most Downloaded
-
Summability in Musielak--Orlicz Hardy spaces
Jun Liu, Haonan Xia
J. Korean Math. Soc. 2023; 60(5): 1057-1072
https://doi.org/10.4134/JKMS.j220646 -
Finite quotients of singular Artin monoids and categorification of the desingularization map
Helena Jonsson, Volodymyr Mazorchuk, Elin Persson Westin, Shraddha Srivastava, Mateusz Stroinski, Xiaoyu Zhu
J. Korean Math. Soc. 2023; 60(6): 1255-1302
https://doi.org/10.4134/JKMS.j230020 -
Maximal domains of solutions for analytic quasilinear differential equations of first order
Chong-Kyu Han, Taejung Kim
J. Korean Math. Soc. 2022; 59(6): 1171-1184
https://doi.org/10.4134/JKMS.j220043 -
Average entropy and asymptotics
Tatyana Barron, Manimugdha Saikia
J. Korean Math. Soc. 2024; 61(1): 91-107
https://doi.org/10.4134/JKMS.j230152
Editorial Office
✕
JKMS
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd