• Title/Summary/Keyword: domains

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A Note on Marcinkiewicz Integral Operators on Product Domains

  • Badriya Al-Azri;Ahmad Al-Salman
    • Kyungpook Mathematical Journal
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    • v.63 no.4
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    • pp.577-591
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    • 2023
  • In this paper we establish the Lp boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polynomials and convex functions. This generalizes and extends previous results.

SOME REMARKS ON S-VALUATION DOMAINS

  • Ali Benhissi;Abdelamir Dabbabi
    • 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.

ON OVERRINGS OF GORENSTEIN DEDEKIND DOMAINS

  • Hu, Kui;Wang, Fanggui;Xu, Longyu;Zhao, Songquan
    • Journal of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.991-1008
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    • 2013
  • In this paper, we mainly discuss Gorenstein Dedekind do-mains (G-Dedekind domains for short) and their overrings. Let R be a one-dimensional Noetherian domain with quotient field K and integral closure T. Then it is proved that R is a G-Dedekind domain if and only if for any prime ideal P of R which contains ($R\;:_K\;T$), P is Gorenstein projective. We also give not only an example to show that G-Dedekind domains are not necessarily Noetherian Warfield domains, but also a definition for a special kind of domain: a 2-DVR. As an application, we prove that a Noetherian domain R is a Warfield domain if and only if for any maximal ideal M of R, $R_M$ is a 2-DVR.

Risk Factors of Depressive Symptoms among Community-Dwelling Elderly

  • Lee, Eunhee
    • International Journal of Advanced Culture Technology
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    • v.6 no.2
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    • pp.9-15
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    • 2018
  • The purpose of this study was to assess risk indicators of depressive symptoms such as demographic, socio-economical domains (age, gender, marital status, education, child, religion, income, health, friendship) and personality domains (neurotic personality, self-esteem and life goal attitude) of community dwelling elderly persons. A total of 300 community-residing elderly participants aged 65+ in a metropolitan city in Korea, were recruited for this interview survey. The interview covered demographic and socio-economic characteristics, and administration of the 20-item Korean Version of CES-D, the 10-item Self-esteem, the 19-item Neuroticism and the 10-itm Goal Instability scale. The prevalence of significant depressive symptoms (CES-D scale >= 21) was 31%. Logistic regression analysis showed high risk for depression was associated with high neuroticism, less intimate friendship, high goa1 instability, and childlessness, respectively in the order of significance. Factors in the personality domains were more strongly associated with depressive symptoms than factors in the socio- economical domains. Both cultural and universal meaning of the findings was discussed with regard to intervention.

Analysis of the Elementary School Participants' Readiness to Write on Scientific Subjects in Science Writing Contest (초등 분야 과학논술대회 참가자들의 과학 글쓰기 능력 분석)

  • Park, Eun-Hee;Jhun, Young-Seok;Lee, In-Ho
    • Journal of Korean Elementary Science Education
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    • v.26 no.4
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    • pp.385-394
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    • 2007
  • In order to investigate elementary school students' readiness to write on scientific subject, we analyzed the participants' draft in elementary student section [National Student Science Writing Contest] which is sponsored by a daily press. As a first step, we designed an assessment framework to analyze the students' writing. It is composed of three domains: scientific thinking, logical validity, creativeness. Each domain has three sub-domains. By using the framework, seven raters scored the students' inquiry reports. The findings reveal that the students needed the training for scientific writing. Especially they had great difficulty in the sub-domain of 'suggestion of rational alternative solution' in scientific thinking domain, the sub-domains of 'clearness' and 'coherence' in logical validity domain, and in the sub-domains of 'creative problem solving' and 'creative presentation' in creative domain.

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GRADED PRIMITIVE AND INC-EXTENSIONS

  • Hamdi, Haleh;Sahandi, Parviz
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.397-408
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    • 2018
  • It is well-known that quasi-$Pr{\ddot{u}}fer$ domains are characterized as those domains D, such that every extension of D inside its quotient field is a primitive extension and that primitive extensions are characterized in terms of INC-extensions. Let $R={\bigoplus}_{{\alpha}{{\in}}{\Gamma}}$ $R_{\alpha}$ be a graded integral domain graded by an arbitrary torsionless grading monoid ${\Gamma}$ and ${\star}$ be a semistar operation on R. The main purpose of this paper is to give new characterizations of gr-${\star}$-quasi-$Pr{\ddot{u}}fer$ domains in terms of graded primitive and INC-extensions. Applications include new characterizations of UMt-domains.

ON 𝜙-SHARP RINGS

  • Darani, Ahmad Yousefian;Rahmatinia, Mahdi
    • Communications of the Korean Mathematical Society
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    • v.31 no.2
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    • pp.237-246
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    • 2016
  • The purpose of this paper is to introduce some new class of rings that are closely related to the classes of sharp domains, pseudo-Dededkind domains, TV domains and finite character domains. A ring R is called a ${\phi}$-sharp ring if whenever for nonnil ideals I, A, B of R with $I{\supseteq}AB$, then I = A'B' for nonnil ideals A', B' of R where $A^{\prime}{\supseteq}A$ and $B^{\prime}{\supseteq}B$. We proof that a ${\phi}$-Dedekind ring is a ${\phi}$-sharp ring and we get some properties that by them a ${\phi}$-sharp ring is a ${\phi}$-Dedekind ring.

Ligand Recognition by the Toll-like Receptor Family

  • Jin, Mi-Sun;Lee, Jie-Oh
    • Animal cells and systems
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    • v.13 no.1
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    • pp.1-8
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    • 2009
  • Toll-like receptor (TLR) family proteins, type I transmembrane proteins, play a central role in human innate immune response by recognizing common structural patterns in diverse molecules from bacteria, viruses and fungi. Recently four structures of the TLR and ligand complexes have been determined by high resolution x-ray crystallographic technique. In this review we summarize reported structures of TLRs and their proposed activation mechanisms. The structures demonstrate that binding of agonistic ligands to the extracellular domains of TLRs induces homo- or heterodimerization of the receptors. Dimerization of the TLR extracellular domains brings their two C-termini into close proximity. This suggests a plausible mechanism of TLR activation: ligand induces dimerization of the extracellular domains, which enforces juxtaposition of intracellular signaling domains for recruitment of intracellular adaptor proteins for signal initiation.

Framework for Ontological Knowledge-based Image Understanding Systems (Ontological 지식 기반 영상이해시스템의 구조)

  • 손세호;이인근;권순학
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.04a
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    • pp.235-240
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    • 2004
  • In this paper, we propose a framework for ontological knowledge-based image understanding systems. Ontology composed of concepts can be used as a guide for describing objects from a specific domain of interest and describing relations between objects from different domains The proposed framework consists of four main subparts ⅰ) ontological knowledge bases, ⅱ) primitive feature detectors, ⅲ) concept inference engine, and ⅳ) semantic inference engine. Using ontological knowledge bases on various domains and features extracted from the detectors, concept inference engine infers concepts on regions of interest in an image and semantic inference engine reasons semantic situations between concepts from different domains. We present a outline for ontological knowledge-based image understanding systems and application examples within specific domains such as text recognition and human recognition in order to show the validity of the proposed system.

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Biochemical characteristics of functional domains using feline foamy virus integrase mutants

  • Yoo, Gwi-Woong;Shin, Cha-Gyun
    • BMB Reports
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    • v.46 no.1
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    • pp.53-58
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    • 2013
  • We constructed deletion mutants and seven point mutants by polymerase chain reaction to investigate the specificity of feline foamy virus integrase functional domains. Complementation reactions were performed for three enzymatic activities such as 3'-end processing, strand transfer, and disintegration. The complementation reactions with deletion mutants showed several activities for 3'-end processing and strand transfer. The conserved central domain and the combination of the N-terminal or C-terminal domains increased disintegration activity significantly. In the complementation reactions between deletion and point mutants, the combination between D107V and deletion mutants revealed 3'-end processing activities, but the combination with others did not have any activity, including strand transfer activities. Disintegration activity increased evenly, except the combination with glutamic acid 200. These results suggest that an intact central domain mediates enzymatic activities but fails to show these activities in the absence of the N-terminal or C-terminal domains.