• Bulletin of the Korean Mathematical Society
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• v.22 no.1
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• pp.7-10
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• 1985

For each a.mem.S and f.mem.m(S), denote by $l_{a}$ f(s)=f(as) for all s.mem.S. If A is a norm closed left translation invariant subalgebra of m(S) (i.e. $l_{a}$ f.mem.A whenever f.mem.A and a.mem.S) containing 1, the constant ont function on S and .phi..mem. $A^{*}$, the dual of A, then .phi. is a mean on A if .phi.(f).geq.0 for f.geq.0 and .phi.(1) = 1, .phi. is multiplicative if .phi. (fg)=.phi.(f).phi.(g) for all f, g.mem.A; .phi. is left invariant if .phi.(1sf)=.phi.(f) for all s.mem.S and f.mem.A. It is well known that the set of multiplicative means on m(S) is precisely .betha.S, the Stone-Cech compactification of S[7]. A subalgebra of m(S) is (extremely) left amenable, denoted by (ELA)LA if it is nom closed, left translation invariant containing contants and has a multiplicative left invariant mean (LIM). A semigroup S is (ELA) LA, if m(S) is (ELA)LA. A subset E.contnd.S is left thick (T. Mitchell, [4]) if for any finite subser F.contnd.S, there exists s.mem.S such that $F_{s}$ .contnd.E or equivalently, the family { $s^{-1}$ E : s.mem.S} has finite intersection property.y.

• Biomedical Science Letters
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• v.27 no.2
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• pp.95-98
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• 2021

The S100 family proteins act as inducers of cancer cell apoptosis and inflammatory mediators. This study examined the pro-apoptotic mechanism caused by S100A8 and S100A9 in human FIP1L1-PDGFRα-positive eosinophilic leukemia cells. S100A8 and S100A9 elicited the death of EoL-1 cells in a time and dose-dependent manner. The activation of PDGFRα was suppressed by a decrease in PDGFRα after treatment with S100A8 and S100A9. Cycloheximide, a translation inhibitor, suppressed PDGFRα expression from 1 h to 5 h, and a co-treatment with S100A8 and S100A9 boosted the decrease in expression. The phosphorylation and expression of STAT5 decreased after treatment with S100A8 and S100A9 in EoL-1 and imatinib-resistant (EoL-1-IR) cells. S100A8 and S100A9 induced the chemotaxis of EoL-1 cells but did not affect the chemoattraction of EoL-1-IR. These findings indicate the cell death mechanism due to S100 family proteins and the development of leukemia therapy using S100A8 and S100A9.

• Bulletin of the Korean Mathematical Society
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• v.59 no.3
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• pp.643-657
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• 2022

Let R be a ring and S a multiplicative subset of R. An R-module T is called u-S-torsion (u-always abbreviates uniformly) provided that sT = 0 for some s ∈ S. The notion of u-S-exact sequences is also introduced from the viewpoint of uniformity. An R-module F is called u-S-flat provided that the induced sequence 0 → A ⊗_R F → B ⊗_R F → C ⊗_R F → 0 is u-S-exact for any u-S-exact sequence 0 → A → B → C → 0. A ring R is called u-S-von Neumann regular provided there exists an element s ∈ S satisfying that for any a ∈ R there exists r ∈ R such that sα = rα². We obtain that a ring R is a u-S-von Neumann regular ring if and only if any R-module is u-S-flat. Several properties of u-S-flat modules and u-S-von Neumann regular rings are obtained.

• Korean Journal of Mathematics
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• v.8 no.2
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• pp.163-172
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• 2000

Let $\mathcal{S}^{\prime}(\mathbb{R})$ be the dual of the Schwartz spaces $\mathcal{S}(\mathbb{R})$), A be a self-adjoint operator in $L^2(\mathbb{R})$ and ${\Gamma}(A)^*$ be the adjoint operator of ${\Gamma}(A)$ which is the second quantization operator of A. It is proven that under a suitable condition on A there exists a nuclear subspace $\mathcal{S}$ of a fundamental space $\mathcal{S}_A$ of Hida's type on $\mathcal{S}^{\prime}(\mathbb{R})$) such that ${\Gamma}(A)\mathcal{S}{\subset}\mathcal{S}$ and $e^{-t{\Gamma}(A)}\mathcal{S}{\subset}\mathcal{S}$, which enables us to show that a stochastic differential equation: $$dX(t)=dW(t)-{\Gamma}(A)^*X(t)dt$$, arising from the central limit theorem for spatially extended neurons has an unique solution on the dual space $\mathcal{S}^{\prime}$ of $\mathcal{S}$.

• Journal of Information Technology Services
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• v.4 no.2
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• pp.47-59
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• 2005

S/W product line is a S/W product or a set of S/W system, which has common functions. We can develop a specific S/W product, which satisfiesrequirements of a particular market segment and a mission in a specific domain by reusing the core asset such as the developed S/W architecture through the S/W product line. S/W development methodology based on the S/W product line can develop a S/W more easily and fast by reusing the developed S/W core asset. An advanced country of S/W technology selects S/W product line as a core field of S/W production technology, and support technology development. In case of USA, CMU/SEI (Carnegie Mellon University / Software Engineering Institute) developed product-line framework 4.0 together with the industry and the Ministry of National Defense. Europe is supporting the development of product line technology through ITEA(IT for European Advancement) program. In this paper, we aim to construct reference architecture of S/W product line for production of the S/W product line.

• Korean Journal of Human Ecology
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• v.22 no.4
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• pp.525-537
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• 2013

This study investigated the relations among a child's emotionality, mother's depression and parenting behaviors in predicting a child's happiness. Participants were 384 children(175 boys, 209 girls) and their mothers. The teachers completed the rating scale to measure a child's happiness. A child's emotionality, mother's depression and parenting behaviors were assessed by a mother-reported questionnaire. The collected data was analyzed using descriptive statistics, correlations, and hierarchical multiple regressions. Results showed that child's emotionality was negatively related to their happiness. Mother's depression had a negative relation to child's happiness. Mother's warmth-encouragement, overprotection-permission, and reject-nonintervention was significantly related to a child's happiness. Hierarchical regression analysis indicated that the interaction of child's emotionality and mother's reject-nonintervention predicted child's happiness. Child's emotionality, whose mother demonstrated a higher level of reject-nonintervention, was associated significantly with happiness. In addition, the association between mother's depression and child's happiness was mediated by mother's warmth-encouragement and reject-nonintervention. Results suggest the importance of mother's role in the context of intervention planning for child's happiness.

• Korean Journal of Childcare and Education
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• v.19 no.1
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• pp.23-41
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• 2023

Objective: The purpose of this study is to explain in detail the factors of the father's play interaction that predict children's adaptive emotional regulation. This study examined the moderated mediation effect of a father's rough-and-tough play toward a child's emotional expressiveness and the father's play participation attitude on the child's adaptive emotional regulation. Methods: The study participants included 309 fathers of children aged from 3 to 5 years. Data were analyzed using models of the PROCESS Macro. Results: As a result of this research, the relationship of the father's rough-and-tough play with the child's adaptive emotional regulation was that this was indeed mediated by the child's negative emotional expressiveness. Additionally, the father's responsive and fun play attitude moderated the relationship between the father's rough-and-tough play and the child's adaptive emotional regulation. Further, the father's responsive and fun play attitude according to level had a moderated mediation effect. Conclusion/Implications: These results are meaningful in that they derives a mechanism for why and how a father's rough-and-tough play affects children's adaptive emotional regulation.

• Korean Journal of Mathematics
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• v.20 no.3
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• pp.307-314
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• 2012

Let M be a left R-module and R be a ring with unity, and $S=\{0,2,3,4,{\ldots}\}$ be a submonoid. Then $M[x^{-s}]=\{a_0+a_2x^{-2}+a_3x^{-3}+{\cdots}+a_nx^{-n}{\mid}a_i{\in}M\}$ is an $R[x^s]$-module. In this paper we show some properties of $M[x^{-s}]$ as an $R[x^s]$-module. Let $f:M{\rightarrow}N$ be an R-linear map and $\overline{M}[x^{-s}]=\{a_2x^{-2}+a_3x^{-3}+{\cdots}+a_nx^{-n}{\mid}a_i{\in}M\}$ and define $N+\overline{M}[x^{-s}]=\{b_0+a_2x^{-2}+a_3x^{-3}+{\cdots}+a_nx^{-n}{\mid}b_0{\in}N,\;a_i{\in}M}$. Then $N+\overline{M}[x^{-s}]$ is an $R[x^s]$-module. We show that given a short exact sequence $0{\rightarrow}L{\rightarrow}M{\rightarrow}N{\rightarrow}0$ of R-modules, $0{\rightarrow}L{\rightarrow}M[x^{-s}]{\rightarrow}N+\overline{M}[x^{-s}]{\rightarrow}0$ is a short exact sequence of $R[x^s]$-module. Then we show $E_1+\overline{E_0}[x^{-s}]$ is not an injective left $R[x^s]$-module, in general.

• Communications of the Korean Mathematical Society
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• v.39 no.1
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• pp.71-77
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• 2024

Let A be a commutative integral domain with identity element and S a multiplicatively closed subset of A. In this paper, we introduce the concept of S-valuation domains as follows. The ring A is said to be an S-valuation domain if for every two ideals I and J of A, there exists s ∈ S such that either sI ⊆ J or sJ ⊆ I. We investigate some basic properties of S-valuation domains. Many examples and counterexamples are provided.

• Kyungpook Mathematical Journal
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• v.59 no.3
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• pp.415-431
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• 2019

In this paper we introduce a new class of operators which will be called the class of k-quasi-class A(s, t) operators. An operator $T{\in}B(H)$ is said to be k-quasi-class A(s, t) if $$T^{*k}(({\mid}T^*{\mid}^t{\mid}T{\mid}^{2s}{\mid}T^*{\mid}^t)^{\frac{1}{t+s}}-{\mid}T^*{\mid}^{2t})T^k{\geq}0$$, where s > 0, t > 0 and k is a natural number. We show that an algebraically k-quasi-class A(s, t) operator T is polaroid, has Bishop's property ${\beta}$ and we prove that Weyl type theorems for k-quasi-class A(s, t) operators. In particular, we prove that if $T^*$ is algebraically k-quasi-class A(s, t), then the generalized a-Weyl's theorem holds for T. Using these results we show that $T^*$ satisfies generalized the Weyl's theorem if and only if T satisfies the generalized Weyl's theorem if and only if T satisfies Weyl's theorem. We also examine the hyperinvariant subspace problem for k-quasi-class A(s, t) operators.