• Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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• 1992.11a
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• pp.25-40
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• 1992

In cryptography, the notion of zero-knowledge is important. It is also related to complexity theory. In this paper we briefly survey the zero-knowledge proofs in the literature.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.2
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• pp.189-196
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• 2008

In this paper, we study h-stability for linear difference systems by using the notion of $n_{\infty}$-quasisimilarity and discrete Gronwall's inequality.

• Journal of the Chungcheong Mathematical Society
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• v.30 no.4
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• pp.357-367
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• 2017

In this paper, we introduce the notion of multiplier of AC-algebra and consider the properties of multipliers in AC-algebras. Also, we characterized the fixed set $Fix_d(X)$ by multipliers. Moreover, we prove that M(X), the collection of all multipliers of AC-algebras, form a semigroup under certain binary operation.

• Honam Mathematical Journal
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• v.27 no.3
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• pp.333-341
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• 2005

A characterization of prime ideals is discussed. A relation between prime ideals and ideals of the form $A_w^{\wedge}$ is given. The prime ideal theorem is established. The notion of annihilators is introduced, and basic properties are investigated.

• Honam Mathematical Journal
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• v.9 no.1
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• pp.77-81
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• 1987

In this paper we introduce the notion of expansion mapping on a probabilistic metric space and prove common fixed point theorems for a pair of such mappings. These results being new of their kind. are interesting generafizations of some of the known results.

• Honam Mathematical Journal
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• v.27 no.1
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• pp.31-41
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• 2005

Given a set ${\Omega}$, the notion of an ${\Omega}$-bifuzzy subsemigroup in semigroups is given, and some properties are investigated. Homomorphic image and inverse image of an ${\Omega}$-bifuzzy subsemigroup are considered.

• Journal of the Chungcheong Mathematical Society
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• v.3 no.1
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• pp.121-124
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• 1990

In this paper, we introduce the notion of the compact range property and $weak^*$ Radon Nikodym property. We prove that the compact range property, weak Radon Nikodym property and $weak^*$ Radon Nikodym property in dual Banach space are all equivalent. Other related results and discussed.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.1
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• pp.95-101
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• 2020

In this paper we introduce the notion of the expansivity for homeomorphisms on a compact metric space and study some properties concerning weak expansive homeomorphisms. Also, we give some examples to illustrate our results.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1993.06a
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• pp.1418-1421
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• 1993

The main purpose of this paper is to introduce and develop the notion of a fuzzy measure in separable Banach space. This definition of fuzzy measure is a natural generalization of the set-valued measure. Radon-Nikod m theorems for fuzzy measure are established.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1993.06a
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• pp.1044-1046
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• 1993

The notion of behavioural dependence of fuzzy concepts is introduced. Examples are given along with first results concerning classical aggregation operators.