Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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2023-04-30
Simple formulations on circulant matrices with alternating Fibonacci
Sugi GuritmanAbstract : In this article, an alternating Fibonacci sequence is defined from a second-order linear homogeneous recurrence relation with constant coefficients. Then, the determinant, inverse, and eigenvalues of the circulant matrices with entries in the first row having the formation of the sequence are formulated explicitly in a simple way. In this study, the method for deriving the formulation of the determinant and inverse is simply using traditional elementary row or column operations. For the eigenvalues, the known formulation from the case of general circulant matrices is simplified by considering the specialty of the sequence and using cyclic group properties. We also propose algorithms for the formulation to show how efficient the computations are.
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2023-04-30
Generalized hyperbolic geometric flow
Shahroud Azami, Ghodratallah Fasihi~Ramandi, Vahid PirhadiAbstract : In the present paper, we consider a kind of generalized hyperbolic geometric flow which has a gradient form. Firstly, we establish the existence and uniqueness for the solution of this flow on an $n$-dimensional closed Riemannian manifold. Then, we give the evolution of some geometric structures of the manifold along this flow.
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2023-01-31
The $u$-$S$-weak global dimensions of commutative rings
Xiaolei ZhangAbstract : In this paper, we introduce and study the $u$-$S$-weak global dimension $u$-$S$-w.gl.dim$(R)$ of a commutative ring $R$ for some multiplicative subset $S$ of $R$. Moreover, the $u$-$S$-weak global dimensions of factor rings and polynomial rings are investigated.
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2022-10-31
Classification of Solvable Lie groups whose non-trivial coadjoint orbits are of Codimension $1$
Hieu Van Ha, Duong Quang Hoa, Vu Anh LeAbstract : We give a complete classification of simply connected and solvable real Lie groups whose nontrivial coadjoint orbits are of codimension 1. This classification of the Lie groups is one to one corresponding to the classification of their Lie algebras. Such a Lie group belongs to a class, called the class of MD-groups. The Lie algebra of an MD-group is called an MD-algebra. Some interest properties of MD-algebras will be investigated as well.
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2022-07-31
Commutativity criteria of prime rings involving two endomorphisms
Souad Dakir, Abdellah Mamouni, Mohammed TamekkanteAbstract : This paper treats the commutativity of prime rings with involution over which elements satisfy some specific identities involving endomorphisms. The obtained results cover some well-known results. We show, by given examples, that the imposed hypotheses are necessary.
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2022-10-31
On the semi-local convergence of contraharmonic-mean Newton's method (CHMN)
Ioannis K. Argyros, Manoj Kumar SinghAbstract : The main objective of this work is to investigate the study of the local and semi-local convergence of the contraharmonic-mean Newton's method (CHMN) for solving nonlinear equations in a Banach space. We have performed the semi-local convergence analysis by using generalized conditions. We examine the theoretical results by comparing the CHN method with the Newton's method and other third order methods by Weerakoon et al.~using some test functions. The theoretical and numerical results are also supported by the basins of attraction for a selected test function.
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2023-04-30
On the Characterization of $F_{0}$-spaces
Mahmoud BenkhalifaAbstract : Let $X$ be a simply connected rationally elliptic space such that $H^{2}(X; {\mathbb Q})\neq0$. In this paper, we show that if $ H^{2n}(X^{[2n-2]}; {\mathbb Q})=0$ or if $\pi_{2n}(X^{2n}) \otimes {\mathbb Q}=0$ for all $n$, then $X$ is an $F_{0}$-space.
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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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2022-10-31
Riemannian submersions whose total space is endowed with a torse-forming vector field
\c{S}emsi Eken~Meri\c{c}, Erol K{\i}l{\i}\c{c}Abstract : In the present paper, a Riemannian submersion $\pi$ between Riemannian manifolds such that the total space of $\pi$ endowed with a torse-forming vector field $\nu$ is studied. Some remarkable results of such a submersion whose total space is Ricci soliton are given. Moreover, some characterizations about any fiber of $\pi$ or the base manifold $B$ to be an almost quasi-Einstein are obtained.
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2022-10-31
Sharp estimates on the third order Hermitian-Toeplitz determinant for Sakaguchi classes
Sushil Kumar, Virendra KumarAbstract : In this paper, sharp lower and upper bounds on the third order Hermitian-Toeplitz determinant for the classes of Sakaguchi functions and some of its subclasses related to right-half of lemniscate of Bernoulli, reverse lemniscate of Bernoulli and exponential functions are investigated.
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A characterization of finite factorization positive monoids
Harold Polo
Commun. Korean Math. Soc. 2022; 37(3): 669-679
https://doi.org/10.4134/CKMS.c210270 -
The dimension graph for modules over commutative rings
Shiroyeh Payrovi
Commun. Korean Math. Soc. 2023; 38(3): 733-740
https://doi.org/10.4134/CKMS.c220273 -
Notes on $(LCS)_n$-manifolds satisfying certain conditions
Shyam Kishor, Pushpendra Verma
Commun. Korean Math. Soc. 2022; 37(4): 1171-1180
https://doi.org/10.4134/CKMS.c210172 -
Semi-neutral groupoids and $BCK$-algebras
Hee Sik Kim, Joseph Neggers, Young Joo Seo
Commun. Korean Math. Soc. 2022; 37(3): 649-658
https://doi.org/10.4134/CKMS.c210236
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Geometry of generalized Berger-type deformed metric on $B$-manifold
ABDERRAHIM ZAGANE
Commun. Korean Math. Soc. 2023; 38(4): 1281-1298
https://doi.org/10.4134/CKMS.c230049 -
Existence and nonexistence of solutions for a class of Hamiltonian strongly degenerate elliptic system
Nguyen Viet Tuan
Commun. Korean Math. Soc. 2023; 38(3): 741-754
https://doi.org/10.4134/CKMS.c220080 -
Jordan $\mathcal{G}_n$-derivations on path algebras
Abderrahim Adrabi, Driss Bennis, Brahim Fahid
Commun. Korean Math. Soc. 2022; 37(4): 957-967
https://doi.org/10.4134/CKMS.c210346 -
Spacetimes admitting divergence free $m$-projective curvature tensor
Uday Chand De, Dipankar Hazra
Commun. Korean Math. Soc. 2024; 39(1): 201-210
https://doi.org/10.4134/CKMS.c230105
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