• 호남수학학술지
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• 제28권2호
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• pp.213-219
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• 2006

We will investigate whether Jucha's result on the Zalcman type domain can be extended to an arbitrary domain in C.

• 충청수학회지
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• 제28권2호
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• pp.261-267
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• 2015

We study backward extensions of 2-variable weighted shifts with finite atomic Berger measure. We provide a necessary and sufficient condition for the subnormality of such extensions. As an application, we give a simple counterexample for the Curto-Muhly-Xia conjecture [10].

• 대한수학회지
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• 제50권5호
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• pp.933-944
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• 2013

Based on the four kinds of theoretical definitions of the continuous module homomorphism between random locally convex modules, we first show that among them there are only two essentially. Further, we prove that such two are identical if the family of $L^0$-seminorms for the former random locally convex module has the countable concatenation property, meantime we also provide a counterexample which shows that it is necessary to require the countable concatenation property.

• 대한수학회지
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• 제38권6호
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• pp.1117-1123
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• 2001

A ring is a DICC ring if every chain of right ideals in-dexed by the integers stabilizes to the left or to the right or to both sides. A counterexample is given to an assertion of karamzadeh and Motamedi that a transfinite power of the Jacobson radical of a right DICC ring is zero. we determine the behavior of the transfinite powers of the Jacobson radical relative to a torsion theory and consequently can obtain their correct behavior in the classical setting.

• Journal of the Korean Data and Information Science Society
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• 제17권2호
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• pp.657-659
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• 2006

This note gives a counterexample showing that a main theorem of Aytal and Pehliven's (Information Sciences 176 (2006) 734-744) result on statically monotonic and bounded sequences of fuzzy numbers is not valid.

• 한국정보보호학회:학술대회논문집
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• 한국정보보호학회 1998년도 종합학술발표회논문집
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• pp.335-343
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• 1998

Nyberg는 Asiacrypt'96에서 한 라운드에 여러 개의 S-box가 작용하는 일반화된 Feistel 구조를 제안하였으나, 안전성에 대해서는 정확한 증명없이 추측만을 제시하였다. 본 논문에서는 한 라운드에 2개의 S-box가 작용하는 일반화된 Feistel 구조의 안전성을 증명한다. 또 Nyberg의 추측이 틀리다는 것도 증명한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제13권2호
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• pp.29-31
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• 1974

P.Zenor에 의해서 Monotonically Normal space가 정의되었으며 그후 R. Health와 D. Lutzer에 의해서 Linearly ordered topological space가 Monotonically Normal 임을 증명했다. 한편 Zenor는 Monotonically Normal Space의 hereditary에 관한 것을 question으로 남겼는데 Health와 Lutzer가 증명했고 또 그 증명보다 더 간단한 증명을 Calos R. Boyers가 증명했다[3]. 뿐만 아니라 그 결과로서 Linearly ordered topological space와 Elastic space 가 Monotonically Normal space임을 밝혔다. 또 [4]에서 Gary Gruenhage가 Monotonically Normal space가 Elastic space가 안됨을 counterexample을 들어서 증명했다. 결론적으로 Monotonically Normal spare와 Elastic space는 완전히 분리되었다. 또 Elastic space의 closed continuous image는 paracompact이고 Monotonically Normal 임을 증명했다. 이 논문에서는 본인이 밝힌 것은 Monotonically Normal space의 closed continuous image가 Mono tonically Normal임을 밝혔다.

• Journal of applied mathematics & informatics
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• 제32권3_4호
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• pp.491-502
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• 2014

In this paper, by using the notion of ${\rho}$-(p,r)-invexity assumptions on the functions involved, optimality conditions and duality results (Mond-Weir, Wolfe and mixed type) are established on differentiable manifolds. Counterexample is constructed to justify that our investigations are more general than the existing work available in the literature.

• 한국국방경영분석학회지
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• 제26권2호
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• pp.1-7
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• 2000

A quickest path in a network is a path that takes the shortest time to send the amount of data from the source node to the sink node. Martin and Santos presented a theorem on the quickest path by which a quickest path for the amount of data is determined. However, we find a counterexample to Martins and Santos' theorem. In this paper, we present the corrected theorem and give a revised algorithm for finding quickest paths.

• 충청수학회지
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• 제20권1호
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• pp.31-35
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• 2007

In dealing with transformation group, topological approach is very natural. But, it is not sufficient to investigate geometric properties of transformation group and we need geometric method. Frankel-McDuff Conjecture is very interesting in the point that it shows struggling between topological method and geometric method. In this paper, the author suggest generalized Frankel-McDuff conjecture as a topological version of the conjecture and construct a counterexample for the generalized version, and from this we assert that topological method does not work for Frankel-McDuff Conjecture.