• Honam Mathematical Journal
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• v.32 no.4
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• pp.675-687
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• 2010

In this paper the dual notion of tight closure of ideals relative to modules is introduced and some related results are obtained.

• Korean Journal of Mathematics
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• v.22 no.3
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• pp.419-427
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• 2014

Let $k=\mathbb{F}_q(T)$ be the rational function field over a finite field $\mathbb{F}_q$, where $q{\equiv}1$ mod 3. In this paper, we determine asymptotic values of average of ideal class numbers of some family of cubic Kummer extensions of k.

• Journal of the Korean Mathematical Society
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• v.45 no.3
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• pp.727-740
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• 2008

A ring R is called IFP, due to Bell, if ab=0 implies aRb=0 for $a,b{\in}R$. Huh et al. showed that the IFP condition need not be preserved by polynomial ring extensions. But it is shown that ${\sum}^n_{i=0}$ $E_{ai}E$ is a nonzero nilpotent ideal of E whenever R is an IFP ring and $0{\neq}f{\in}F$ is nilpotent, where E is a polynomial ring over R, F is a polynomial ring over E, and $a_i^{'s}$ are the coefficients of f. we shall use the term near IFP to denote such a ring as having place near at the IFPness. In the present note the structures of IFP rings and near-IFP rings are observed, extending the classes of them. IFP rings are NI (i.e., nilpotent elements form an ideal). It is shown that the near-IFPness and the NIness are distinct each other, and the relations among them and related conditions are examined.

• Journal of the Korean Society of Costume
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• v.33
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• pp.41-54
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• 1997

The objectives of this study were to find out the relationships between clothing style pre-ferences and self-image and to examine the differences in clothing style preferences ac-cording to marital status educational level and social stratification of women. The drawings of clothing style were designed referring to the catalogues for spring/summer of 1996 and printed by computer 6 styles of suit corresponding to clothing image were selected. Style A is a brown suit decorated with scarf style B a grey suit with stripes C a yellow suit with printed pattern D a grey and beige suit E a chanel suit decorated with corsage and F a blue suit with pleated skirt. The self-image was separated to the actual self-image and the ideal self-image. Samples were 226 women(ages 18 to 37) in Seoul Korea. The results of the study were the followings. 1. Clothing images of 6 styles were estimated; Style A was plain conservative formal and gentle image ; B masculine solid actual dark and plain image; C feminine romantic bright and splendid image; D actual ordinary un-fashionable and plain image; E feminine ten-der romantic and non-active image ; F indi-vidual fshionable open casual sprightly and active image. 2. There were significant relationships be-tween clothing style preferences and realistic self-image. The women who considered them-selves as masculine preferred style B mascu-line and plain image. The women feminine and conservative preferred style E feminine and tender image. The women not to follow the fshion preferred style D ordinary and plain image. The women informal and open pre-ferred the style F casual and active image. 3. There were significant relationships be-tween clothing style preferences and ideal self-image. The women who wanted to be-tween clothing style preferences and ideal self-image. The women who wanted to be con-sidered themselves as feminine and conserva-tive preferred style E feminine and tender im-age. The women who wanted gentle and con-servative preferred style D ordinary and plain image. The women who wanted sprightly pre-ferred the style F casual and active image. 4. There were significant differences in clothing style preferences according to marital status educational level and social stratifi-cation. The women with more eduacation pre-ferred the splendid and the plain image at the same time. The upper class preferred feminine image and lower class casual and active image.

• Journal of the Korean Mathematical Society
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• v.56 no.5
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• pp.1403-1418
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• 2019

Let R be a commutative ring with unity. If f(x) is a zero-divisor polynomial such that $f(x)=c_f f_1(x)$ with $c_f{\in}R$ and $f_1(x)$ is not zero-divisor, then $c_f$ is called an annihilating content for f(x). In this case $Ann(f)=Ann(c_f )$. We defined EM-rings to be rings with every zero-divisor polynomial having annihilating content. We showed that the class of EM-rings includes integral domains, principal ideal rings, and PP-rings, while it is included in Armendariz rings, and rings having a.c. condition. Some properties of EM-rings are studied and the zero-divisor graphs ${\Gamma}(R)$ and ${\Gamma}(R[x])$ are related if R was an EM-ring. Some properties of annihilating contents for polynomials are extended to formal power series rings.

• Bulletin of the Korean Mathematical Society
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• v.43 no.4
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• pp.711-713
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• 2006

Let R be a semiprime ring and f be an endomorphism on R. If f is a strong commutativity preserving (simply, scp) map on a non-zero ideal U of R, then f is commuting on U.

• Korean Journal of Optics and Photonics
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• v.11 no.1
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• pp.58-64
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• 2000

Assuming that the performance of holographic storage media is ideal, we estimate the area storage density of disk-type holographic memories, when the method of either angle multiplexing, or rotational multiplexing, or both are used. The area storage density is strongly dependent on the f numbers (ratio of focal length to diameter) of both the Fourier transform lens in the signal arm, denoted by $F/#_2$, and the angle range over which the reference beam is incident (or, the equivalent f number corresponding to the angle range denoted by $F/#_1$). The area storage density is largely independent of the pixel pitch of the spatial light modulator when the Fourier plane holograms are recorded, while it is sensitive to the pixel pitch when the image plane holograms are recorded. In general, to obtain high area storage density, the Fourier or at least near Fourier plane holograms rather than the image plane holograms should be recorded. In addition, when the thickness of the recording materials are less than approximately $500\mu\extrm{m}$, rotational multiplexing gives higher area storage densities than angle multiplexing does. To increase the storage density further, however, it is desirable to use both of the two multiplexing methods in combination.nation.

• Kyungpook Mathematical Journal
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• v.50 no.1
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• pp.1-5
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• 2010

Let P be a prime ideal of a commutative unital ring R; X an indeterminate; D := R/P; L the quotient field of D; F an algebraic closure of L; ${\alpha}$ ${\in}$ L[X] a monic irreducible polynomial; ${\xi}$ any root of in F; and Q = ${\alpha}$>, the upper to P with respect to ${\alpha}$. Then R[X]/Q is R-algebra isomorphic to $D[{\xi}]$; and is R-isomorphic to an overring of D if and only if deg(${\alpha}$) = 1.

• Journal of the Korean Mathematical Society
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• v.31 no.3
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• pp.367-373
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• 1994

Let us consider the Cauchy problem $$ {\rho_t + \upsilon \cdot \nabla\rho = 0 {\rho[\upsilon_t + (\upsilon \cdot \nabla)\upsilon] + \nabla p + \rho f {div \upsilon = 0 (1.1) {\rho$\mid$_t = 0 = \rho_0(x) {\upsilon$\mid$_t = 0 = \upsilon_0(x) $$ in $Q_T = R^3 \times [0,T]$, where $f(x,t), \rho_0(x) and \upsilon_0(x)$ are given, while the density $\rho(x,t)$, the velocity vector $\upsilon(x,t) = (\upsilon^1(x,t),\upsilon^2(x,t),\upsilon^3(x,t))$ and the pressure p(x,t) are unknowns. The equations $(1.1)_1 - (1.1)_3$ describe the motion of a nonhomogeneous ideal incompressible fluid.

• Communications of the Korean Mathematical Society
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• v.30 no.4
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• pp.385-402
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• 2015

In this paper we study the (good) semi-prime closure operations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover by given some examples we show that the given different notions are independent together, for instance there is a semi-prime closure operation, which is not a good semi-prime. Finally by given the notion of "$c_f$-Max X", we prove that every member of "$c_f$-Max X" is a prime ideal. Also we conclude some more related results.