• 한국수학사학회지
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• 제19권4호
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• pp.97-106
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• 2006

격자의 기원은 수학에서 비롯된 것이 아니고 논리학에서 시작되었다([22]). 1880 년경 Peirce는 모든 격자는 분배 격자라고 생각하였으나 1890년경 $Schr{\"{o}}der$가 오류를 수정하였고, 1933년 Birkhoff가 lattice라는 단어를 처음 사용하였으나 이는 오늘의 격자와는 그 정의가 다르다. 이 논문에서는 Peirce를 소개하고 atomic 격자, atomistic 격자, J-격자, strong 격자 그리고 분배 격자의 상관관계를 연구한다.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제15권1호
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• pp.72-78
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• 2015

Alexandrov topologies are the topologies induced by relations. This paper addresses the properties of Alexandrov topologies as the extensions of strong topologies and strong cotopologies in complete residuated lattices. With the concepts of Zhang's completeness, the notions are discussed as extensions of interior and closure operators in a sense as Pawlak's the rough set theory. It is shown that interior operators are meet preserving maps and closure operators are join preserving maps in the perspective of Zhang's definition.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제7권12호
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• pp.3261-3273
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• 2013

In the paper, we propose a novel adaptively secure hierarchical identity-based signature scheme from lattices. The size of signatures in our scheme is shortest among the existing hierarchical identity-based signature schemes from lattices. Our scheme is motivated by Gentry et al.'s signature scheme and Agrawal et al.'s hierarchical identity-based encryption scheme.

• 충청수학회지
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• 제11권1호
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• pp.27-34
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• 1998

We introduce ${\delta}$-frames, strong ${\delta}$-frames and completely distributive lattices, and investigate some relationships among those frames.

• Journal of applied mathematics & informatics
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• 제37권1_2호
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• pp.65-71
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• 2019

In this paper we give some properties related to fuzzy functions on complete residuated lattices.

• Kyungpook Mathematical Journal
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• 제50권2호
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• pp.195-211
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• 2010

Let A be a locally finite total algebra of finite type such that $k^A(a_1,\cdots,a_n)\;{\neq}\;a_i$ ai for every operation $k^A$, elements $a_1,\cdots,a_n$ an and $1\;\leq\;i\;\leq\;n$. We show that the weak subalgebra lattice of A uniquely determines its (strong) subalgebra lattice. More precisely, for any algebra B of the same finite type, if the weak subalgebra lattices of A and B are isomorphic, then their subalgebra lattices are also isomorphic. Moreover, B is also total and locally finite.

• 대한수학회논문집
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• 제30권3호
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• pp.155-168
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• 2015

Strong uni-soft filters and divisible uni-soft filters in residuated lattices are introduced, and several properties are investigated. Characterizations of a strong and divisible uni-soft filter are discussed. Conditions for a uni-soft filter to be divisible are established. Relations between a divisible uni-soft filter and a strong uni-soft filter are considered.

• 정보보호학회논문지
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• 제23권1호
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• pp.45-56
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• 2013

강한 지정된 검증자 서명은 서명자가 검증자를 지정하여 서명을 생성하며, 이렇게 생성된 서명은 지정된 검증자만이 서명자로부터 생성되었는지를 확신할 수 있다. 추가적으로, 지정된 검증자 이외의 어떤 누구도 이렇게 생성된 서명이 어떤 서명자에 의해 생성된 서명인지를 알아낼 수 없다는 특징을 가진다. 본 논문에서 우리는 사용자의 공개키가 ID라는 장점을 가지는 ID 기반의 강한 지정된 검증자 서명 기법을 제안한다. 우리가 제안하는 기법은 ID 기반의 강한 지정된 검증자 서명 분야에서 최초로 래티스에서 설계되었으며, 따라서 양자 컴퓨팅 환경에서도 안전하며 높은 연산 효율성을 가진다.

• Bulletin of the Korean Chemical Society
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• 제34권3호
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• pp.912-916
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• 2013

The electronic structure of LaFeAsO was analyzed by tight-binding band calculation based upon the normal and shrunk lattices. A strong Fermi surface nesting was found in the normal LaFeAsO, while most of the nesting area was disappeared in the shrunk LaFeAsO. It was found, therefore, high pressure atmosphere is required to become a superconductor for LaFeAsO by suppressing the SDW (spin density wave) state through the disappearance of the Fermi surface nesting.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2002년도 하계학술대회 논문집
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• pp.43-49
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• 2002

Gray-colored materials were synthesized from ball-milled ZnO powders under a thermal annealing at 1380$^{\circ}C$ with an argon carrier gas for 3 hours. The synthesized materials were identified to be wurtzitic hexagonal structured ZnO nanowires by X-ray diffraction and scanning electron microscopy. The ZnO nanowires have the long cylinder-like shape of which cross-section is a circle, and these nanowires are in the range 15∼40 nm width and 10-70 $\mu\textrm{m}$ length, respectively. Transmission electron microscopy revealed that these nanowires are single-crystalline and grow along [110] direction. The optical properties of the ZnO nanowires were investigated with photoluminescence. The analytic results revealed that ZnO nanowires have the singly ionized oxygen vacancies in the surface lattices, as they emit strong green light in room temperature PL. In addition, the growth mechanism of the ZnO nanowires can be described by the vapor-solid procedures.