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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
0304-9914
eISSN :
2234-3008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 52, Issue 6 - Nov 2015
Volume 52, Issue 5 - Sep 2015
Volume 52, Issue 4 - Jul 2015
Volume 52, Issue 3 - May 2015
Volume 52, Issue 2 - Mar 2015
Volume 52, Issue 1 - Jan 2015
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1
ON v-MAROT MORI RINGS AND C-RINGS
Geroldinger, Alfred ; Ramacher, Sebastian ; Reinhart, Andreas ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 1~21
DOI : 10.4134/JKMS.2015.52.1.001
Abstract
C-domains are defined via class semigroups, and every C-domain is a Mori domain with nonzero conductor whose complete integral closure is a Krull domain with finite class group. In order to extend the concept of C-domains to rings with zero divisors, we study v-Marot rings as generalizations of ordinary Marot rings and investigate their theory of regular divisorial ideals. Based on this we establish a generalization of a result well-known for integral domains. Let R be a v-Marot Mori ring,
its complete integral closure, and suppose that the conductor f = (R :
) is regular. If the residue class ring R/f and the class group C(
) are both finite, then R is a C-ring. Moreover, we study both v-Marot rings and C-rings under various ring extensions.
2
EXPANDING THE CONVERGENCE DOMAIN FOR CHUN-STANICA-NETA FAMILY OF THIRD ORDER METHODS IN BANACH SPACES
Argyros, Ioannis Konstantinos ; George, Santhosh ; Magrenan, Angel Alberto ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 23~41
DOI : 10.4134/JKMS.2015.52.1.023
Abstract
We present a semilocal convergence analysis of a third order method for approximating a locally unique solution of an equation in a Banach space setting. Recently, this method was studied by Chun, Stanica and Neta. These authors extended earlier results by Kou, Li and others. Our convergence analysis extends the applicability of these methods under less computational cost and weaker convergence criteria. Numerical examples are also presented to show that the earlier results cannot apply to solve these equations.
3
BROYDEN'S METHOD FOR OPERATORS WITH REGULARLY CONTINUOUS DIVIDED DIFFERENCES
Galperin, Anatoly M. ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 43~65
DOI : 10.4134/JKMS.2015.52.1.043
Abstract
We present a new convergence analysis of popular Broyden's method in the Banach/Hilbert space setting which is applicable to non-smooth operators. Moreover, we do not assume a priori solvability of the equation under consideration. Nevertheless, without these simplifying assumptions our convergence theorem implies existence of a solution and superlinear convergence of Broyden's iterations. To demonstrate practical merits of Broyden's method, we use it for numerical solution of three nontrivial infinite-dimensional problems.
4
REGULAR INJECTIVITY AND EXPONENTIABILITY IN THE SLICE CATEGORIES OF ACTIONS OF POMONOIDS ON POSETS
Farsad, Farideh ; Madanshekaf, Ali ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 67~80
DOI : 10.4134/JKMS.2015.52.1.067
Abstract
For a pomonoid S, let us denote Pos-S the category of S-posets and S-poset maps. In this paper, we consider the slice category Pos-S/B for an S-poset B, and study some categorical ingredients. We first show that there is no non-trivial injective object in Pos-S/B. Then we investigate injective objects with respect to the class of regular monomorphisms in this category and show that Pos-S/B has enough regular injective objects. We also prove that regular injective objects are retracts of exponentiable objects in this category. One of the main aims of the paper is to draw attention to characterizing injectivity in the category Pos-S/B under a particular case where B has trivial action. Among other things, we also prove that the necessary condition for a map (an object) here to be regular injective is being convex and present an example to show that the converse is not true, in general.
5
FINITE GROUPS WHOSE INTERSECTION GRAPHS ARE PLANAR
Kayacan, Selcuk ; Yaraneri, Ergun ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 81~96
DOI : 10.4134/JKMS.2015.52.1.081
Abstract
The intersection graph of a group G is an undirected graph without loops and multiple edges defined as follows: the vertex set is the set of all proper non-trivial subgroups of G, and there is an edge between two distinct vertices H and K if and only if
where 1 denotes the trivial subgroup of G. In this paper we characterize all finite groups whose intersection graphs are planar. Our methods are elementary. Among the graphs similar to the intersection graphs, we may count the subgroup lattice and the subgroup graph of a group, each of whose planarity was already considered before in [2, 10, 11, 12].
6
ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS
Badawi, Ayman ; Tekir, Unsal ; Yetkin, Ece ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 97~111
DOI : 10.4134/JKMS.2015.52.1.097
Abstract
Let R be a commutative ring with
. In this paper, we introduce the concept of weakly 2-absorbing primary ideal which is a generalization of weakly 2-absorbing ideal. A proper ideal I of R is called a weakly 2-absorbing primary ideal of R if whenever a, b,
and
, then
or
or
. A number of results concerning weakly 2-absorbing primary ideals and examples of weakly 2-absorbing primary ideals are given.
7
HIGHER ORDER ASYMPTOTIC BEHAVIOR OF CERTAIN KÄHLER METRICS AND UNIFORMIZATION FOR STRONGLY PSEUDOCONVEX DOMAINS
Joo, Jae-Cheon ; Seo, Aeryeong ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 113~124
DOI : 10.4134/JKMS.2015.52.1.113
Abstract
We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete K
hler metrics of given domains. As a consequence, we prove a rigidity theorem of strongly pseudoconvex domains by asymptotic curvature behavior of metrics.
8
SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS
Arab, Reza ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 125~139
DOI : 10.4134/JKMS.2015.52.1.125
Abstract
In this paper we introduce the notion of the generalized Darbo fixed point theorem and prove some fixed and coupled fixed point theorems in Banach space via the measure of non-compactness, which generalize the result of Aghajani et al. [6]. Our results generalize, extend, and unify several well-known comparable results in the literature. One of the applications of our main result is to prove the existence of solutions for the system of integral equations.
9
ADMIXABLE OPERATORS AND A TRANSFORM SEMIGROUP ON ABSTRACT WIENER SPACE
Chang, Seung Jun ; Choi, Jae Gil ; Skoug, David ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 141~157
DOI : 10.4134/JKMS.2015.52.1.141
Abstract
The purpose of this paper is first of all to investigate the behavior of admixable operators on the product of abstract Wiener spaces and secondly to examine transform semigroups which consist of admix-Wiener transforms on abstract Wiener spaces.
10
TOTAL IDENTITY-SUMMAND GRAPH OF A COMMUTATIVE SEMIRING WITH RESPECT TO A CO-IDEAL
Atani, Shahabaddin Ebrahimi ; Hesari, Saboura Dolati Pish ; Khoramdel, Mehdi ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 159~176
DOI : 10.4134/JKMS.2015.52.1.159
Abstract
Let R be a semiring, I a strong co-ideal of R and S(I) the set of all elements of R which are not prime to I. In this paper we investigate some interesting properties of S(I) and introduce the total identity-summand graph of a semiring R with respect to a co-ideal I. It is the graph with all elements of R as vertices and for distinct x,
, the vertices x and y are adjacent if and only if
.
11
STRICT TOPOLOGIES AND OPERATORS ON SPACES OF VECTOR-VALUED CONTINUOUS FUNCTIONS
Nowak, Marian ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 177~190
DOI : 10.4134/JKMS.2015.52.1.177
Abstract
Let X be a completely regular Hausdorff space, and E and F be Banach spaces. Let
be the Banach space of all continuous functions
such that f(X) is a relatively compact set in E. We establish an integral representation theorem for bounded linear operators
. We characterize continuous operators from
, provided with the strict topologies
(
) to F, in terms of their representing operator-valued measures.
12
GENERALIZED SKEW DERIVATIONS AS JORDAN HOMOMORPHISMS ON MULTILINEAR POLYNOMIALS
De Filippis, Vincenzo ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 191~207
DOI : 10.4134/JKMS.2015.52.1.191
Abstract
Let
be a prime ring of characteristic different from 2,
be its right Martindale quotient ring and
be its extended centroid. Suppose that
is a nonzero generalized skew derivation of
,
is the associated automorphism of
, f(
,
,
) is a non-central multilinear polynomial over
with n non-commuting variables and
. If
acts as a Jordan homomorphism on
, then either
for all
, or
.
13
POLYNOMIAL REPRESENTATIONS FOR n-TH ROOTS IN FINITE FIELDS
Chang, Seunghwan ; Kim, Bihtnara ; Lee, Hyang-Sook ;
Journal of the Korean Mathematical Society, volume 52, issue 1, 2015, Pages 209~224
DOI : 10.4134/JKMS.2015.52.1.209
Abstract
Computing square, cube and n-th roots in general, in finite fields, are important computational problems with significant applications to cryptography. One interesting approach to computational problems is by using polynomial representations. Agou, Del
eglise and Nicolas proved results concerning the lower bounds for the length of polynomials representing square roots modulo a prime p. We generalize the results by considering n-th roots over finite fields for arbitrary n > 2.