• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.8 no.3
• /
• pp.207-219
• /
• 2008

We give some properties of intuitionistc fuzzy left, right, and two-sided ideals and bi-ideals of a semigroup. And we characterize a regular semigroup, a semigroup that is a lattice of left(right) simple semigroups, a semigroup that is a semilattice of left(right) groups and a semigroup that is a semilattice of groups in terms of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals.

• Communications of the Korean Mathematical Society
• /
• v.22 no.1
• /
• pp.1-7
• /
• 2007

Subtraction algebras with additional conditions, so called complicated subtraction algebras, are introduced, and several properties are investigated. In a complicated subtraction algebra, characterizations of ideals are provided, and showed that the set of all ideals in a complicated subtraction algebra is a complete lattice.

• Bulletin of the Korean Mathematical Society
• /
• v.31 no.1
• /
• pp.61-72
• /
• 1994

Every irreducible block-finite orthomodular lattice is simple [9] and every irreducible orthomodular alttice such that no proper p-ideal of L contains infinitely many commutators is simple [5]. Every finite (height) OML L which does not belong to the varitety generated by MO2 has one of the OML MO3, 2$^{3}$.2$^{2}$, D$_{16}$ OMLHOUSE as the homomorpyhic image of a subalgebra of L [3]. In this paper, we extend these results.s.

• Journal of the Korea Convergence Society
• /
• v.7 no.4
• /
• pp.181-190
• /
• 2016

The objective of this study is to find the effective stiffness and compressive strengths of a unit-cell pinwheel truss and double pinwheel truss model designed following a double helical geometry similar to that of the DNA (deoxyribonucleic acid) structure in biology. The ideal solution for their derived relative density is correlated with a ratio of the truss thickness and length. To validate the relative stiffness or relative strength, ABAQUS software is used for the computational model analysis on five models having a different size of truss diameter from 1mm to 5mm. Applied material properties are stainless steel type 304. The boundary conditions applied were fixed bottom and 5 mm downward displacement. It was assumed that the width, length, and height are all equal. Consequently, it is found that the truss model has a lower effective stiffness and a lower effective yielding strength.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.15 no.6
• /
• pp.771-779
• /
• 2005

We introduce two concepts of intuitionistic fuzzy Rees congruence on a semigroup and intuitionistic fuzzy Rees con-gruence semigroup. As an important result, we prove that for a intuitionistic fuzzy Rees congruence semigroup S, the set of all intuitionistic fuzzy ideals of S and the set of all intuitionistic fuzzy congruences on S are lattice isomorphic. Moreover, we show that a homomorphic image of an intuitionistic fuzzy Rees congruence semigroup is an intuitionistic fuzzy Rees congruence semigroup.

• Proceedings of the Korean Vacuum Society Conference
• /
• 1999.07a
• /
• pp.170-170
• /
• 1999

We studied Nb growth mode on Cu(100) surface by scanning tunneling microscopy (STM) at room temperature. Nb/Cu is immiscible at room temperature and thus is an ideal system for studying surface alloy formation. Initially deposited Nb atoms are incorporated subsurface on Cu(100). After annealing, they are preferentially found at step edges and appear as bright dots surrounded by dark rings. Ordering emerges from step edges as annealed. Ordered ({{{{ SQRT { 5} }$\times${{{{ SQRT { 5} }}}})R 26.6$^{\circ}$phase Nb structure is formed at $\theta$<0.2ML after annealing to 50$0^{\circ}C$. At higher coverage, $\theta$>0.25, annealing leads to p(2$\times$2) phase. due to large mismatch in lattice parameters, the domain is limited to a few tens of nm2. Growth kinetics of the system will be discussed.

• Journal of the Korean Chemical Society
• /
• v.13 no.4
• /
• pp.395-399
• /
• 1969

On the soft carbon made from petroleum coke, it was found that the graphitization began at around 2,000$^{\circ}C and crystallite diameters were almost saturated at 2,400$^{\circ}C., and that the molecular planes were difficult to arrange into an ideal graphite lattice in spite of the saturation of crystallinity by heat treatment temperature. On the hard carbon made from cross-linked thermosetting plastics, phenol-formaldehyde filler and phenol-benzaldehyde binder, it was very difficult to rotate the molecular planes into a regular directional arrangement and into a consecutive order corresponding to the large graphite crystals. In addition to the above mentioned crystallinity, it was also determined in relation to electric conductivity, resistivity, hardness and apparent density of carbons.

• Structural Engineering and Mechanics
• /
• v.58 no.4
• /
• pp.677-687
• /
• 2016

On the basis of the energy approach it is reported a development of the yield function and the constitutive equations for the orthotropic material with consideration of the crystal lattice constants and parameters of the crystallographic texture for the general stress state. For practical use in sheet metal forming analysis it is considered different loading scenarios: plane stress and plane strain states. Using the proposed yield function, the influence of single ideal components on the shape of yield surface was analyzed. The six texture components investigated here were cube, Goss, copper, brass, S and rotated cube, as these components are typically observed in rolled sheets from FCC alloys.

• Bulletin of the Korean Chemical Society
• /
• v.6 no.6
• /
• pp.337-343
• /
• 1985

A statistical mechanical approach to elucidate the solvent effects on the high polymer solutions has been carried out on the basis of the simple model of liquids improved by Pak. In our works, the partition function of the polymer solutions is formulated by the lattice model and our simple treatment of liquid structures. For the ideal polymer solutions proposed by Flory, thermodynamic functions of the polymer solutions are obtained and equations of mixing properties and partial molar quantities are derived from the presented partition function of the polymer solutions. Partial molar quantities are calculated for the rubber solutions in carbon disulfide, benzene and carbon tetrachloride. Comparisons have been made between our equations and those of Flory's original paper for partial molar properties of the rubber-benzene system. Comparing the experimental data of the osmotic pressure of polystyrene-cyclohexane system with our calculated values and those of Flory's, our values fit to the agreeable degrees better than those of Flory's.

• Communications of the Korean Mathematical Society
• /
• v.38 no.1
• /
• pp.1-9
• /
• 2023

An le-module M over a commutative ring R is a complete lattice ordered additive monoid (M, ⩽, +) having the greatest element e together with a module like action of R. This article characterizes the le-modules _RM such that the pseudo-prime spectrum X_M endowed with the Zariski topology is a Noetherian topological space. If the ring R is Noetherian and the pseudo-prime radical of every submodule elements of _RM coincides with its Zariski radical, then X_M is a Noetherian topological space. Also we prove that if R is Noetherian and for every submodule element n of M there is an ideal I of R such that V (n) = V (Ie), then the topological space X_M is spectral.