• Title/Summary/Keyword: domains

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UPPERS TO ZERO IN POLYNOMIAL RINGS OVER GRADED DOMAINS AND UMt-DOMAINS

  • Hamdi, Haleh;Sahandi, Parviz
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.187-204
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    • 2018
  • Let $R={\bigoplus}_{{\alpha}{\in}{\Gamma}}\;R_{\alpha}$ be a graded integral domain, H be the set of nonzero homogeneous elements of R, and ${\star}$ be a semistar operation on R. The purpose of this paper is to study the properties of $quasi-Pr{\ddot{u}}fer$ and UMt-domains of graded integral domains. For this reason we study the graded analogue of ${\star}-quasi-Pr{\ddot{u}}fer$ domains called $gr-{\star}-quasi-Pr{\ddot{u}}fer$ domains. We study several ring-theoretic properties of $gr-{\star}-quasi-Pr{\ddot{u}}fer$ domains. As an application we give new characterizations of UMt-domains. In particular it is shown that R is a $gr-t-quasi-Pr{\ddot{u}}fer$ domain if and only if R is a UMt-domain if and only if RP is a $quasi-Pr{\ddot{u}}fer$ domain for each homogeneous maximal t-ideal P of R. We also show that R is a UMt-domain if and only if H is a t-splitting set in R[X] if and only if each prime t-ideal Q in R[X] such that $Q{\cap}H ={\emptyset}$ is a maximal t-ideal.

The Analysis of the Low Carbon Green Growth Education Contents in the Fisheries and Marine High School Textbooks (저탄소 녹색성장 교육 관련 수산·해운계 고등학교 교과서 분석)

  • Hwang, Jae-Ho;Park, Jong-Un
    • Journal of Fisheries and Marine Sciences Education
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    • v.24 no.3
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    • pp.395-405
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    • 2012
  • This study was investigated 35 government-authorized and officially approved textbooks for the Fisheries and marine high school which were published by the 2007 Revised Curriculum at 2009 for analyzing the objective and content domains concerning school the low carbon green growth education. Prior to the grounds of analyzing for the objective and content domains were presented, the factors of the grounds were made based on the low carbon green growth standards for the nation. According to the analysis, the findings which were as follows; 18(51.4%) in 35 textbooks and 666(6.4%) in 10,406 pages were related the low carbon green growth education in the course of the Fisheries and marine high school education. There were 37 participation domains, 27 information and knowledge domains, 9 value and attitude domains and 6 skill domains in the objective domains. The content domains were consisted of 33 green growth, 23 climate change, 10 energy conservation, 6 low carbon and 6 international cooperation.

Leveraging and Fostering Diversity in the IS Discipline: Intradisciplinary Knowledge Building via the IT View-IS Phenomenon (VP) Matrix

  • Inchan Kim;Jama Summers
    • Asia pacific journal of information systems
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    • v.34 no.1
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    • pp.49-90
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    • 2024
  • Intradisciplinary research refers to research that integrates ideas often associated with different research domains in a discipline. Such cross-fertilization leverages abundant diversity present in the IS discipline to tackle increasingly complex IS problems and grand challenges. Despite its importance and recent attention, a concerted, sustained effort toward intradisciplinary research is lagging. A fundamental issue we see is a lack of an elaborate IS research map that effectively shows similarities and differences among research domains and demonstrates types of ideas that may travel and integrate into different domains. We thus aim to propose an elaborate IS research map and compile research elements that can be tried and combined across research domains. To do so, we utilize two IS classics (i.e., IT views and IS phenomena), identify their complementarity, and interweave the two disparate ways of portraying the IS research field. The resultant view-phenomenon (VP) matrix specifies research domains based on two consistent, comprehensive criteria and helps researchers discern similarities and differences among research domains more effectively. The VP matrix also sheds light on a variety of research elements that can flow across research domains. The VP matrix along with the research elements together facilitate intradisciplinary efforts and, more broadly, help the IS discipline to prosper. The VP matrix is particularly helpful for doctoral students and young scholars.

Expression and Preparation of Periostin FAS1 Domains for NMR Structure Determination

  • Yun, Hyosuk;Kim, Jae Il;Lee, Chul Won
    • Journal of the Korean Magnetic Resonance Society
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    • v.20 no.1
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    • pp.17-21
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    • 2016
  • Periostin, a component of extracellular matrix (ECM) protein, is produced and secreted by the fibroblasts that are involved in chronic allergic inflammation diseases and various types of human cancers. Periostin protein is composed of multiple domains including four FAS1 domains which play important roles in cell adhesion and tumor metastasis by interacting with integrins. In spite of their important biological role, the structural information of periosin FAS1 domains was not revealed yet. Recently we systemically prepared various constructs of the FAS1 domains and tried to express them in E. coli. Of them, only single FAS1-II and -IV domains were highly soluble. Circular dichroism (CD) and nuclear magnetic resonance (NMR) studies revealed that the FAS1-IV domain might be suitable for three-dimensional structure determination using NMR spectroscopy.

COPURE PROJECTIVE MODULES OVER FGV-DOMAINS AND GORENSTEIN PRÜFER DOMAINS

  • Shiqi Xing
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.4
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    • pp.971-983
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    • 2023
  • In this paper, we prove that a domain R is an FGV-domain if every finitely generated torsion-free R-module is strongly copure projective, and a coherent domain is an FGV-domain if and only if every finitely generated torsion-free R-module is strongly copure projective. To do this, we characterize G-Prüfer domains by G-flat modules, and we prove that a domain is G-Prüfer if and only if every submodule of a projective module is G-flat. Also, we study the D + M construction of G-Prüfer domains. It is seen that there exists a non-integrally closed G-Prüfer domain that is neither Noetherian nor divisorial.

How do Elementary Students Classify the Branches of Science?

  • Kwon, Sung-Gi;Nam, Il-Kyun
    • Journal of The Korean Association For Science Education
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    • v.29 no.3
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    • pp.329-347
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    • 2009
  • Science curriculums for elementary schools were, traditionally, developed to be balanced in content and contain equal proportions of the four branches of science: physics, chemistry, biology, and earth science. To develop a successful science curriculum, we asked some questions about how elementary students recognize these branches and about what they think of the domains of science in the science curriculum. Our study was designed to investigate how elementary students classify the domains of science in the curriculum. Previous research (Lee et al., 2001) seemed not to be successful, because verbal expressions in that research might be inappropriate for elementary students who were unaccustomed to the technical language of science. For this reason, instead of using only words, we developed image card instruments, made of picture duplicates of the introductory covers of each unit in the 3$^{rd}$, 4$^{th}$, and 5$^{th}$ grades' science textbooks. We asked students to classify these cards into their own categories and record the reasons for classifying them. The ratio and distribution of the units was then analyzed to identify their view of the science domains. 30% of the 4$^{th}$ grade students created the following categories: 'nature,' 'observation,' 'seasons,' 'living things,' 'sounds,' 'separating,' and 'the things necessary for everyday life'. In the case of the 5$^{th}$ grade, over 30% created the categories of 'living things,' 'weight,' and 'water.' Over 30% of the 6$^{th}$ grade created the categories of 'nature,' 'light,' 'water,' 'living things,' 'solution,' 'fire,' 'properties of an object,' and 'experiment.' Upon scrutinizing the above results, we discovered that the science domains selected by students into three types of domains: academic contents and concepts; activities related to a science class; and lessons and experiences in students ' lives. The last category was a new, complex kind of domain. We concluded that students did not utilize the four branches of science when constructing their own domains of science. Instead, they created many alternative domains, which reflected students' thoughts of and their experiences. The educational needs of elementary students suggest that when organizing science curriculum as 25 % allocation of the four science branches, newly-created domains should be considered.

FACE PAIRING MAPS OF FORD DOMAINS FOR CUSPED HYPERBOLIC 3-MANIFOLDS

  • Hong, Sung-Bok;Kim, Jung-Soo
    • Journal of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.1007-1025
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    • 2008
  • We will describe a way to construct Ford domains of cusped hyperbolic 3-manifolds on maximal cusp diagrams and compute fundamental groups using face pairing maps as generators and Cannon-Floyd-Parry's edge cycles as relations. We also describe explicitly a cutting and pasting alteration to reduce the number of faces on the bottom region of Ford domains. We expect that our analysis of Ford domains will be useful on other future research.

ON DISTANCE ESTIMATES AND ATOMIC DECOMPOSITIONS IN SPACES OF ANALYTIC FUNCTIONS ON STRICTLY PSEUDOCONVEX DOMAINS

  • Arsenovic, Milos;Shamoyan, Romi F.
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.85-103
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    • 2015
  • We prove some sharp extremal distance results for functions in various spaces of analytic functions on bounded strictly pseudoconvex domains with smooth boundary. Also, we obtain atomic decompositions in multifunctional Bloch and weighted Bergman spaces of analytic functions on strictly pseudoconvex domains with smooth boundary, which extend known results in the classical case of a single function.