• 제목/요약/키워드: Category theory

검색결과 504건 처리시간 0.023초

EXACTNESS OF COCHAIN COMPLEXES VIA ADDITIVE FUNCTORS

  • Campanini, Federico;Facchini, Alberto
    • 대한수학회논문집
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    • 제35권4호
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    • pp.1075-1085
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    • 2020
  • We investigate the relation between the notion of e-exactness, recently introduced by Akray and Zebary, and some functors naturally related to it, such as the functor P : Mod-R → Spec(Mod-R), where Spec(Mod-R) denotes the spectral category of Mod-R, and the localization functor with respect to the singular torsion theory.

COMBINATORIAL WEBS OF QUANTUM LIE SUPERALGEBRA sl(1|1)

  • Kim, Dong-Seok
    • East Asian mathematical journal
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    • 제25권4호
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    • pp.469-479
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    • 2009
  • Temperley-Lieb algebras had been generalized to web spaces for rank 2 simple Lie algebras which led us to link invariants for these Lie algebras as a generalization of Jones polynomial. Recently, Geer found a new generalization of Jones polynomial for some Lie superalgebras. In this paper, we study the quantum sl(1|1) representation theory using the web space and find a finite presentation of the representation category (for generic q) of the quantum sl(1|1).

임신에 대한 자아통제감 향상하기: 임신부의 정보추구 경험 유형 (Increasing Sense of Self-Control over Pregnancy: Information Seeking Patterns of Pregnant Women's)

  • 김갑선
    • 한국도서관정보학회지
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    • 제44권3호
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    • pp.125-152
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    • 2013
  • 본 연구는 근거이론 방법을 적용하여 임신부들이 경험하는 정보추구의 독특함을 총체적으로 반영한 정보추구의 실체이론을 개발하였다. 이론적 표집에 의하여 산전진료에 참여하고 있는 16명의 임신부를 대상으로 심층적인 면담을 수행하였다. 자료 분석은 근거이론 절차에 따라 자료수집과 자료 분석을 동시에 수행하였고, 지속적인 비교분석을 하였다. 임신기의 정보추구의 맥락, 구조, 과정의 분석 결과, 임신부의 정보추구 경험을 통합하는 핵심범주는 '임신에 대한 자아통제감 향상하기'로 도출하였다. 즉, 임신의 과정동안 임신부들의 의도적이고 일상적인 정보추구행위는 합맥락적이고 합리적으로 임신상황에 대처해 나갈 수 있는 능력을 향상해 나가는 과정이라는 것이다. '임신에 대한 자아통제감 향상하기'의 경험 유형은 '필사적 추구형', '적극적 추구형', '무관심 추구형', '체념적 추구형'으로 나타났다. 또한, 본 연구결과의 특징 및 선행 정보추구 모형과의 비교 및 임신부들을 위한 정보서비스 개발을 논하였다.

제시양식 및 부호화조건과 단서양식이 아동의 회상에 미치는 영향 (Effects of Presentation Modality, Encoding Condition and Cue Modality on Child Recall)

  • 박명자;최경숙
    • 아동학회지
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    • 제11권1호
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    • pp.45-57
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    • 1990
  • The purpose of the present study was to investigate the age-related differences in recall and to assess effects of presentation modality, encoding condition and cue modality on recall in terms of encoding specificity principles and dual-coding theory. Eighty children in each of 3grades(first, third and fifth) were presented a 30-item set of pictures or words on cars for recall in a study-test procedure. The experiment was designed as a 3(age) x 2(presentation modality:picture or word) x 2(encoding condition:random or category) x 2(cue modality:picuture or word) factorial design. Statistical analyses were with four-way ANOVA and $Scheff\acute{e}$ test. It was concluded from these results that when the stimulus was presented by pictures, encoded by category and the cues were also presented by pictures, recall increased in all ages. These results were interpreted in terms of encoding specificity principles and dual-coding theory.

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THE QUANTUM sl(n, ℂ) REPRESENTATION THEORY AND ITS APPLICATIONS

  • Jeong, Myeong-Ju;Kim, Dong-Seok
    • 대한수학회지
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    • 제49권5호
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    • pp.993-1015
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    • 2012
  • In this paper, we study the quantum sl($n$) representation category using the web space. Specially, we extend sl($n$) web space for $n{\geq}4$ as generalized Temperley-Lieb algebras. As an application of our study, we find that the HOMFLY polynomial $P_n(q)$ specialized to a one variable polynomial can be computed by a linear expansion with respect to a presentation of the quantum representation category of sl($n$). Moreover, we correct the false conjecture [30] given by Chbili, which addresses the relation between some link polynomials of a periodic link and its factor link such as Alexander polynomial ($n=0$) and Jones polynomial ($n=2$) and prove the corrected conjecture not only for HOMFLY polynomial but also for the colored HOMFLY polynomial specialized to a one variable polynomial.

THE NUMBER OF THE CRITICAL POINTS OF THE STRONGLY INDEFINITE FUNCTIONAL WITH ONE PAIR OF THE TORUS-SPHERE VARIATIONAL LINKING SUBLEVELS

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • 제16권4호
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    • pp.527-535
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    • 2008
  • Let $I{\in}C^{1,1}$ be a strongly indefinite functional defined on a Hilbert space H. We investigate the number of the critical points of I when I satisfies one pair of Torus-Sphere variational linking inequality. We show that I has at least two critical points when I satisfies one pair of Torus-Sphere variational linking inequality with $(P.S.)^*_c$ condition. We prove this result by use of the limit relative category and critical point theory on the manifold with boundary.

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델파이 조사법을 이용한 학문 목적 한국어 읽기 능력 평가 구성 요인 연구 (A Study of Using Delphi Survey on Constructive Factors of Korean Reading Ability Evaluation for Academic Purposes)

  • 장문정
    • 한국어교육
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    • 제28권4호
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    • pp.149-179
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    • 2017
  • The purpose of this study was to establish a Korean reading ability assessment category based on a reading comprehension theory, and to establish an evaluation framework for Korean reading ability after creating the evaluation factors corresponding to each category through expert Delphi survey. The three levels of reading comprehension that were constructed are the following: language knowledge, text comprehension, and interpretation and comprehension of new ideas and application. This study suggested that constructs of Korean reading assessment reflected reading theory. This study has meaningful consequences which suggest verified constructs through Delphi surveys.

The Effect of Construal Level on Variety Seeking across Subcategories

  • Suh, Jiyeon;Won, Eugene J.S.
    • Asia Marketing Journal
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    • 제21권3호
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    • pp.1-20
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    • 2019
  • The present study investigates how consumers' construal level affects their variety seeking behavior when choosing multiple items simultaneously. Especially the authors focus on the perceptual level at which variety seeking takes place and propose that variety seeking can take place not only at brand level but also at category or subcategory level. Categorical variety seeking refers to diversification of one's choices over multiple brands not within the same category but across multiple categories. Building on construal level theory, the authors expected that people engaging in higher-level construals tend to subcategorize the choice set and distribute their choices across more subcategories and designed four experiments to test the related hypotheses. The experimental results showed that consumers' construal level can affect the level at which variety seeking takes place and those with higher construal level tend to choose options seemingly more dissimilar to each other.