• 제목/요약/키워드: S-domain

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A Note on S-Noetherian Domains

  • LIM, JUNG WOOK
    • Kyungpook Mathematical Journal
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    • 제55권3호
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    • pp.507-514
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    • 2015
  • Let D be an integral domain, t be the so-called t-operation on D, and S be a (not necessarily saturated) multiplicative subset of D. In this paper, we study the Nagata ring of S-Noetherian domains and locally S-Noetherian domains. We also investigate the t-Nagata ring of t-locally S-Noetherian domains. In fact, we show that if S is an anti-archimedean subset of D, then D is an S-Noetherian domain (respectively, locally S-Noetherian domain) if and only if the Nagata ring $D[X]_N$ is an S-Noetherian domain (respectively, locally S-Noetherian domain). We also prove that if S is an anti-archimedean subset of D, then D is a t-locally S-Noetherian domain if and only if the polynomial ring D[X] is a t-locally S-Noetherian domain, if and only if the t-Nagata ring $D[X]_{N_v}$ is a t-locally S-Noetherian domain.

t-SPLITTING SETS S OF AN INTEGRAL DOMAIN D SUCH THAT DS IS A FACTORIAL DOMAIN

  • Chang, Gyu Whan
    • Korean Journal of Mathematics
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    • 제21권4호
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    • pp.455-462
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    • 2013
  • Let D be an integral domain, S be a saturated multi-plicative subset of D such that $D_S$ is a factorial domain, $\{X_{\alpha}\}$ be a nonempty set of indeterminates, and $D[\{X_{\alpha}\}]$ be the polynomial ring over D. We show that S is a splitting (resp., almost splitting, t-splitting) set in D if and only if every nonzero prime t-ideal of D disjoint from S is principal (resp., contains a primary element, is t-invertible). We use this result to show that $D{\backslash}\{0\}$ is a splitting (resp., almost splitting, t-splitting) set in $D[\{X_{\alpha}\}]$ if and only if D is a GCD-domain (resp., UMT-domain with $Cl(D[\{X_{\alpha}\}]$ torsion UMT-domain).

INVARIANCE OF DOMAIN THEOREM FOR DEMICONTINUOUS MAPPINGS OF TYPE ( $S_+$)

  • Park, Jong-An
    • 대한수학회보
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    • 제29권1호
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    • pp.81-87
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    • 1992
  • Wellknown invariance of domain theorems are Brower's invariance of domain theorem for continuous mappings defined on a finite dimensional space and Schauder-Leray's invariance of domain theorem for the class of mappings I+C defined on a infinite dimensional Banach space with I the identity and C compact. The two classical invariance of domain theorems were proved by applying the homotopy invariance of Brower's degree and Leray-Schauder's degree respectively. Degree theory for some class of mappings is a useful tool for mapping theorems. And mapping theorems (or surjectivity theorems of mappings) are closely related with invariance of domain theorems for mappings. In[4, 5], Browder and Petryshyn constructed a multi-valued degree theory for A-proper mappings. From this degree Petryshyn [9] obtained some invariance of domain theorems for locally A-proper mappings. Recently Browder [6] has developed a degree theory for demicontinuous mapings of type ( $S_{+}$) from a reflexive Banach space X to its dual $X^{*}$. By applying this degree we obtain some invariance of domain theorems for demicontinuous mappings of type ( $S_{+}$). ( $S_{+}$).

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영역특정론과 영역일반론에 따른 유아의 인과추론 - 물리, 심리 영역을 중심으로 - (The Role of Domain-specific Causal Mechanism and Domain-general Conditional Probability in Young Children's Causal Reasoning on Physics and Psychology)

  • 김지현;이순형
    • 아동학회지
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    • 제29권5호
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    • pp.243-269
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    • 2008
  • The role of domain-specific causal mechanism information and domain-general conditional probability in young children's causal reasoning on physics and psychology was investigated with the participation of 121 3-year-olds and 121 4-year-olds recruited from seven child care centers in Seoul, Kyonggi Province, and Busan. Children watched moving pictures on physical and psychological phenomena, and were asked to choose an appropriate cause and justify their choice. Results showed that young children's causal reasoning differed depending on domain-specific mechanism. In addition, their causal reasoning on physics and psychology differed by the developmental level of causal mechanism. The interaction of domain-specific mechanism and domain-general conditional probability influenced children's causal reasoning : evident conditional probability between domain-appropriate cause and effect helped children make more inferences based on domain-specific causal mechanism.

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캐나다의 도메인이름중재제도 (Canadian Domain Name Arbitration)

  • 장문철
    • 한국중재학회지:중재연구
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    • 제13권2호
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    • pp.519-546
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    • 2004
  • On June 27, 2002 Canadian Internet Registration Authority (CIRA) launched dot-ca domain name dispute resolution service through BCICAC and Resolution Canada, Inc. The Domain name Dispute Resolution Policy (CDRP) of CIRA is basically modelled after Uniform Domain Name Dispute Resolution Policy(UDRP), while the substance of CDRP is slightly modified to meet the need of Canadian domain name regime and its legal system. Firstly, this article examined CIRA's domain name dispute resolution policy in general. It is obvious that the domain name dispute resolution proceeding is non-binding arbitration to which arbitration law does not apply. However it still belongs to the arbitration and far from the usual mediation process. Domain name arbitrators render decision rather than assist disputing parties themselves reach to agreement. In this respect the domain name arbitration is similar to arbitration or litigation rather than mediation. Secondly it explored how the panels applied the substantive standards in domain name arbitration. There is some criticism that panelists interprets the test of "confusingly similar" in conflicting manner. As a result critics assert that courts' judicial review is necessary to reduce the conflicting interpretation on the test of substantive standards stipulated in paragraph 3 of CDRP. Finally, it analysed the court's position on domain name arbitral award. Canadian courts do not seem to establish a explicit standard for judicial review over it yet. However, in Black v. Molson case Ontario Superior Court applied the UDRP rules in examining the WIPO panel's decision, while US courts often apply domestic patent law and ACPA(Anticyber -squatting Consumer's Protection Act) to review domain name arbitration decision rather than UDRP rules. In conclusion this article suggests that courts should restrict their judicial review on domain name administrative panel's decision at best. This will lead to facilitating the use of ADR in domain name dispute resolution and reducing the burden of courts' dockets.

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가사노동 사회화에 관한 연구 (The Study on the Socialization of Household Work)

  • 김영숙;심미영
    • 가정과삶의질연구
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    • 제9권2호
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    • pp.191-207
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    • 1991
  • The purpose of this study is to investigate the degree of socialization of household work and to analyze the influence of demographic and psycho-social variable on socialization of household work. For the purpose of this study, questionnaires were administrated to 314 housewives in Pusan. For the statistical analysis were as follows; 1)The degree of socialization in the domain of food showed significant difference by number of family, number of children, housewife's age, housewife's education, husband's education, income and sex-role attitude. The degree of socialization in the domain of housing showed significant difference by family pattern, housewife's education, husband's education, state of housewife employment. husband's occupation , income and sex-role attitude. The degree of socialization in the domain of clothing showed significant difference by housewife's age, housewife's education, husband's education , state of housewife employment. husband's occupation, income and sex-role attitude. The degree of socialization in the domain of family management showed significant difference by number of children, housewife's age. state of housewife employment, income, period of marriage life and sex-role attitude. The degree of socialization in the domain of home management showed significant difference by housewife's education, husband's occupation, sex-role attitude and share of household work. 2) The socialization in the domain of food was influenced husband's education, income, housewife's education and sex-role attitude. The socialization in the domain of housing was influenced husband's education, income, housewife's occupation and sex-role attitude. The socialization in the domain of clothing was influenced husband's education, income. housewife's occupation and sex-role attitude. The socialization in the domain of family management was influenced husband's education, shave of household work. and sex-role attitude. The socialization in the domain of home management was influenced husband's education, shave of household work, and sex-role attitude.

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심리와 생물 영역에서의 유아의 인과추론 : 영역특정성과 영역일반성의 상호작용 (Young Chilldren's Causal Reasoning on Psychology and Biology : Focusing on the Interaction between Domain-specificty and Domain-generality)

  • 김지현
    • 가정과삶의질연구
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    • 제26권5호
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    • pp.333-354
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    • 2008
  • This study aimed to investigate the role of domain-specific causal mechanism information and domain-general conditional probability in young children's causal reasoning on psychology and biology. Participants were 121 3-year-olds and 121 4-year-olds recruited from seven childcare centers in Seoul, Kyonggi Province, and Busan. After participants watched moving pictures on psychological and biological phenomena, they were asked to choose appropriate cause and justify their choices. Results of this study were as follows: First, young children made different inferences according to domain-specific causal mechanisms. Second, the developmental level of causal mechanisms has a gap between psychology and biology, and biological knowledge was proved to be separate from psychological knowledge during the preschool period. Third, young children's causal reasoning was different depending on the interaction effect of domain-specific mechanisms and domain-general conditional probability: children could make more inferences based on domain-specific causal mechanisms if conditional probability between domain-appropriate cause and effect was evident. To conclude, it can be inferred that the role of domain-specific causal mechanisms and domain-general conditional probability is not competitive but complementary in young children's causal reasoning.

EXTENSIONS OF NAGATA'S THEOREM

  • Hamed, Ahmed
    • 대한수학회지
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    • 제55권4호
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    • pp.797-808
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    • 2018
  • In [1], the authors generalize the concept of the class group of an integral domain $D(Cl_t(D))$ by introducing the notion of the S-class group of an integral domain where S is a multiplicative subset of D. The S-class group of D, $S-Cl_t(D)$, is the group of fractional t-invertible t-ideals of D under the t-multiplication modulo its subgroup of S-principal t-invertible t-ideals of D. In this paper we study when $S-Cl_t(D){\simeq}S-Cl_t(D_T)$, where T is a multiplicative subset generated by prime elements of D. We show that if D is a Mori domain, T a multiplicative subset generated by prime elements of D and S a multiplicative subset of D, then the natural homomorphism $S-Cl_t(D){\rightarrow}S-Cl_t(D_T)$ is an isomorphism. In particular, we give an S-version of Nagata's Theorem [13]: Let D be a Krull domain, T a multiplicative subset generated by prime elements of D and S another multiplicative subset of D. If $D_T$ is an S-factorial domain, then D is an S-factorial domain.

An Integrated Neural Network Model for Domain Action Determination in Goal-Oriented Dialogues

  • Lee, Hyunjung;Kim, Harksoo;Seo, Jungyun
    • Journal of Information Processing Systems
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    • 제9권2호
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    • pp.259-270
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    • 2013
  • A speaker's intentions can be represented by domain actions (domain-independent speech act and domain-dependent concept sequence pairs). Therefore, it is essential that domain actions be determined when implementing dialogue systems because a dialogue system should determine users' intentions from their utterances and should create counterpart intentions to the users' intentions. In this paper, a neural network model is proposed for classifying a user's domain actions and planning a system's domain actions. An integrated neural network model is proposed for simultaneously determining user and system domain actions using the same framework. The proposed model performed better than previous non-integrated models in an experiment using a goal-oriented dialogue corpus. This result shows that the proposed integration method contributes to improving domain action determination performance.

SOME REMARKS ON S-VALUATION DOMAINS

  • Ali Benhissi;Abdelamir Dabbabi
    • 대한수학회논문집
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    • 제39권1호
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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.