Journal•ISSN: 1225-1763
Communications of The Korean Mathematical Society
Korean Mathematical Society
About: Communications of The Korean Mathematical Society is an academic journal. The journal publishes majorly in the area(s): Banach space & Fuzzy logic. It has an ISSN identifier of 1225-1763. Over the lifetime, 1402 publications have been published receiving 4956 citations.
Topics: Banach space, Fuzzy logic, Generalized hypergeometric function, Fixed point, Bounded function
Papers published on a yearly basis
Papers
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TL;DR: In this article, the authors define small submodules of a module M over R over a ring with identity, M is a module over R, G is an abelian group of finite rank, E is the ring of endomorphisms of G and S is the center of E.
Abstract: The concept of a continuous module is a generalization of that of an injective module, and conditions (), (C) and () are given for this concept in [4]. In this paper, we study modules with properties that are dual to continuity. These will be called discrete and we discuss discrete abelian groups. Throughout R is a ring with identity, M is a module over R, G is an abelian group of finite rank, E is the ring of endomorphisms of G and S is the center of E. Dual to the notion of essential submodules, we define small submodules of a module M over R.(omitted)
235 citations
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TL;DR: A new identity based authenticated key agreement protocol from pairings satisfying the required security attributes is presented, based on the bilinear Di-e-Hellman assumption.
Abstract: We present a new identity based authenticated key agreement protocol from pairings satisfying the required security attributes. The security of our protocol is based on the bilinear Di-e-Hellman assumption.
88 citations
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TL;DR: In this article, the variation of parameters method is proposed for solving boundary value problems without using the Adomian's polynomials, which is a clear advantage of this technique over the decomposition method.
Abstract: In this paper, we develop a reliable algorithm which is called the variation of parameters method for solving sixth-order boundary value problems. The proposed technique is quite ecient and is practically well suited for use in these problems. The suggested iterative scheme finds the solution without any perturbation, discritization, linearization or restric- tive assumptions. Moreover, the method is free from the identification of Lagrange multipliers. The fact that the proposed technique solves nonlin- ear problems without using the Adomian's polynomials can be considered as a clear advantage of this technique over the decomposition method. Several examples are given to verify the reliability and eciency of the proposed method. Comparisons are made to reconfirm the eciency and accuracy of the suggested technique.
67 citations
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TL;DR: In this paper, strongly prime ideals were characterized and a theorem was proved that an integral domain R is a PVD if and only if every maximal ideal M of R is strongly prime.
Abstract: In this paper we characterize strongly prime ideals and prove a theorem: an integral domain R is a PVD if and only if every maximal ideal M of R is strongly prime.
66 citations
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TL;DR: In this article, the concept of soft sets was applied to the theory of subtraction algebras, and the notion of soft WS-algebra, soft subalgebra and soft deductive systems were derived.
Abstract: Molodtsov [8] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of subtraction algebras. The notion of soft WS-algebras, soft subalgebras and soft deductive systems are introduced, and their basic properties are derived.
53 citations