• Honam Mathematical Journal
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• v.35 no.4
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• pp.607-623
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• 2013

Operational properties of cubic sets are first investigated. The notion of cubic subsemigroups and cubic left (resp. right) ideals are introduced, and several properties are investigated. Relations between cubic subsemigroups and cubic left (resp. right) ideals are discussed. Characterizations of cubic left (resp. right) ideals are considered, and how the images or inverse images of cubic subsemigroups and cubic left (resp. right) ideals become cubic subsemigroups and cubic left (resp. right) ideals, respectively, are studied.

• Korean Journal of Mathematics
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• v.17 no.4
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• pp.437-449
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• 2009

In this paper, we establish the stability of cubic double centralizers and cubic multipliers on Banach algebras. We also prove the superstability of cubic double centralizers on Banach algebras which are cubic commutative and cubic without order.

• Honam Mathematical Journal
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• v.36 no.1
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• pp.43-54
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• 2014

The notions of cubic subalgebras and cubic filters in CI-algebras are introduced, and related properties are investigated. Characterizations of cubic subalgebras are considered. Conditions for a cubic set to be a cubic filter are provided.

• Honam Mathematical Journal
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• v.44 no.4
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• pp.535-559
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• 2022

The notions of cubic intuitionistic fuzzy set to filters and implicative filters of BE-algebras are introduced. Relations between cubic intuitionistic fuzzy filters with cubic intuitionistic fuzzy implicative filters of BE-algebras are investigated. The homomorphic image and inverse image of cubic intuitionistic fuzzy filters are studied and some related properties are investigated. Also, the product of cubic intuitionistic fuzzy subalgebras (implicative filters) of BE-algebras are investigated.

• Journal of the Korean Institute of Gas
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• v.4 no.4 s.12
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• pp.1-5
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• 2000

Cubic and non-cubic equations of state are used to calculate the vapor-liquid equilibrium(VLE) compositions for liquified natural gas(LNG) containing hydrogen sulfide. Modified Benedict-Web-Robin EOS is chosen as a non-cubic equation of state while Peng-Robinson, Soave-Redlich-Kwong EOS are used for a cubic EOS. Modified Benedict-Web-Robin EOS. showed better predictability than the cubic EOS used for the systems $H_2S/CH_4,\;H_2S/iC_4H_{10},\;H_2S/N_2$. specially for liquid composition.

• Proceedings of the Korean Institute of Surface Engineering Conference
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• 2003.10a
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• pp.52-52
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• 2003

cubic boron nitride(cubic BN)는 기계적, 전기적, 광학적, 열적으로 우수한 특성 때문에 다양한 분야에 응용 가능한 재료로, 수 십년 동안 연구되어 오고 있다. 그러나 아직까지 막내 cubic BN이 차지하는 함량과 접착력의 저조 때문에 실제로 응용되기에는 무리가 있다. 많은 이들이 이 문제점들을 해결하기 위해 노력하고 있다. Cubic BN의 생성 매카니즘에 관해서는 여러 모델들이 제시되고 있으나 아직까지 정론화된 것은 없다. 대표적인 모델들로는 스퍼터 모델, 스트레스 모델, 서브플렌테이션 모델 등이 있다. 그러나 BN 막내의 구조가 hexagal BN과 cubic BN이 혼합되어 있는 구조라는 것과 cubic BN이 형성되기 위해서는 이온 충돌 에너지가 필요하다는 점은 모든 모델들에서 일반적으로 취하고 있다. 본 연구에서는, 유도 결합 플라즈마 화학 기상 증착법을 이용해 cubic BN 박막을 증착하였다. 소스 가스로는 BCl$_3$, $N_2$, H$_2$, Ar를 사용하였다. 기판에 가해지는 R.F. 바이어스가 박막내 cubic BN의 함량에 어떠한 영향을 미치는 지에 대해 연구하였다. cubic BN 상의 확인은 FT-IR 장비로 분석하였고, 막내 조성은 AES로, 박막의 두께는 FE-SEM으로 확인하였다.

• Communications of the Korean Mathematical Society
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• v.28 no.2
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• pp.209-224
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• 2013

The problem of finding rational or integral points of an elliptic curve basically boils down to solving a cubic equation. We look closely at the cubic formula of Cardano to find a criterion for a cubic polynomial to have a rational or integral roots. Also we show that existence of a rational root of a cubic polynomial implies existence of a solution for certain Diophantine equation. As an application we find some integral solutions of some special type for $y^2=x^3+b$.

• Communications of the Korean Mathematical Society
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• v.31 no.3
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• pp.423-431
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• 2016

Images and inverse images of (almost) stable cubic sets are discussed. We show that the image and inverse image of stable cubic sets are also stable. Conditions for the image of almost cubic sets to be an almost cubic set are provided. The complement, the P-union and the P-intersection of (inverse) images of (almost) stable cubic sets are considered.

• Communications of the Korean Mathematical Society
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• v.16 no.4
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• pp.595-606
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• 2001

Using p-adic class number formula, we derive a congru-ence relation for class numbers of the simplest cubic fields which can be considered as a cubic analogue of Ankeny-Artin-Chowlas theo-rem, Furthermore, we give an elementary proof for an upper bound for the class numbers of the simplest cubic fields.

• Journal of the Korean Mathematical Society
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• v.42 no.6
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• pp.1187-1203
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• 2005

Let g(2n, l, d) be the number of general cubic graphs on 2n labeled vertices with l loops and d double edges. We use inclusion and exclusion with two types of properties to determine the asymptotic behavior of g(2n, l, d) and hence that of g(2n), the total number of general cubic graphs of order 2n. We show that almost all general cubic graphs are connected. Moreover, we determined the asymptotic numbers of general cubic graphs with given connectivity.