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On the first homology groups of strong types in rosy theories and some arithmetic properties on nonstandard rationals : 장미이론에서의 1차 호모로지 군에 관한 연구 및 비표준 유리수 체 모델의 산술적 성질에 대한 연구

Lee, Junguk 2016년

논문상세정보
    • 저자 Lee, Junguk
    • 형태사항 26 cm: iii, 83p.
    • 일반주기 지도교수: 김병한
    • 학위논문사항 수학과 수리논리, 연세대학교 일반대학원, Thesis(doctoral)-, 2016. 2
    • DDC 510
    • 발행지 서울
    • 언어 eng
    • 출판년 2016
    • 발행사항 연세대학교 일반대학원
    유사주제 논문( 3,118)
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' On the first homology groups of strong types in rosy theories and some arithmetic properties on nonstandard rationals : 장미이론에서의 1차 호모로지 군에 관한 연구 및 비표준 유리수 체 모델의 산술적 성질에 대한 연구' 의 주제별 논문영향력
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' On the first homology groups of strong types in rosy theories and some arithmetic properties on nonstandard rationals : 장미이론에서의 1차 호모로지 군에 관한 연구 및 비표준 유리수 체 모델의 산술적 성질에 대한 연구' 의 참고문헌

  • SunYoung Kim and Junguk Lee. More on 2-chains with 1-shell boundaries in rosy theories. accepted in Journal of the Mathematical Society of Japan.
  • Saharon Shelah. Simple unstable theories. Ann. Math. Logic, 19 (1980), 177203
  • Saharon Shelah. Classication theory 2nd edition. North-Holland, Amsterdam (1990).
  • Michael F. Atiyah and Ian G. MacDonald. Introduction To Commutative Alge- bra. Westview Press, (1994).
  • Manjul Bhargava and Arul Shankar. Binary quartic forms having bounded in- variants, and the boundedness of the average rank of elliptic curves. Ann. of Math., (2) Vol. 181, (2015), 191242.
  • Ludomir Newelski. The diameter of a Lascar strong type. Fundamenta Mathematicae , 176 (2003), 157-170.
  • Krzysztof Krupinski, and Tomasz Rzepecki. Smoothness of bounded invariant equivalence relations. accepted in Journal of Symbolic Logic.
  • Karl Rubin and Alice Silverberg. Ranks of elliptic curves. Bull. Amer. Math. Soc., 39, (2002), no. 4, 455471.
  • Junguk Lee. Some arithmetic properties on nonstandard rationals. preprint.
  • Junguk Lee. Lascar groups and the rst homology groups of strong types in rosy theories. submitted.
  • Julia Robinson. Denability and decesion problems in arithmetic. Journal of Symbolic Logic, 14, (1949), 98114.
  • Joseph H. Silverman. The Arithmetic of Elliptic Curves, 2nd edition. Springer, New York, (2009).
  • John Goodrick, Byunghan Kim, and Alexei Kolesnikov. Type-amalgamation properties and polygroupoids in stable theories. Jourtnal of Mathematical Logic, Vol. 15 (2015)
  • John Goodrick, Byunghan Kim, and Alexei Kolesnikov. Homology groups of types in stable theories and the Hurewicz correspondence. submitted.
  • John Goodrick, Byunghan Kim, and Alexei Kolesnikov. Homology groups of types in model theory and the computation of H2(p). Journal of Symbolic Logic, 78 (2013), 10861114.
  • John Goodrick, Byunghan Kim, and Alexei Kolesnikov. Amalgamation functors and homology groups in model theory. To appear in Proceedings of ICM 2014.
  • Hideyuki Matsmura. Commutative Ring Theory. Cambridge University Press, (1987)
  • Hans Adler. Explanations of Independence. Ph. D. Thesis, Univ. of Freiburg (2005).
  • Enrique Casanovas, Daniel Lascar, Anand Pillay, and Martin Ziegler. Galois groups of rst order theories. Journal of Mathematical Logic, 1 (2001) 305-319.
  • Ehud Hrushovski. Groupoids, imaginaries and internal covers. Turkish Journal of Mathematics, Vol. 36 , (2012), p173
  • David Marker. Model Theory: An Introduction. Springer, New York, (2002).
  • Clifton Ealy and Alf Onshuus. Characterizing rosy theories. Journal of Symbolic Logic, 72 (2007) 919-940.
  • Byunghan Kim. Simplicity Theory. Oxford University Press, 2014.
  • Byunghan Kim, SunYoung Kim, and Junguk Lee. Non-commutative groupoids obtained from the failure of 3-uniqueness in stable theories. submitted.
  • Byunghan Kim, SunYoung Kim, and Junguk Lee. A classication of 2-chains having 1-shell boundaries in rosy theories. Journal of Symbolic Logic, vol. 80, (2015), 322-340.
  • Byunghan Kim, Alexei Kolesnikov, and Akito Tsuboi. Generalized amalgama- tion and n-simplicity. Annals of Pure and Applied Logic, 155 (2008), 97-114
  • Byunghan Kim and Anand Pillay. Simple theories. Annals of Pure and Applied Logic, 88 (1997), 149164.
  • Bruno Poizat. A course in model theory: an introduction to contemporary mathematical logic, Springer, (2000).
  • Bruce Olberding and Jay Shapiro. Prime ideals in ultraproducts of commutative rings. Journal of Algebra, 285, (2005), 768794.