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Volumn 10, Issue 4, 2003, Pages 481-490

A ring homomorphism is enough to get nonstandard analysis

Author keywords

Nonstandard analysis; Rings of functions

Indexed keywords


EID: 1442305159     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1070645796     Document Type: Review
Times cited : (10)

References (14)
  • 1
    • 0013196088 scopus 로고    scopus 로고
    • An algebraic approach to nonstandard analysis
    • G. Buttazzo, A. Marino and M.K.V. Murthy (eds.), Springer
    • V. Benci, An algebraic approach to nonstandard analysis, in "Calculus of Variations and Partial Differential Equations", G. Buttazzo, A. Marino and M.K.V. Murthy (eds.), Springer, 1999, 285-326.
    • (1999) Calculus of Variations and Partial Differential Equations , pp. 285-326
    • Benci, V.1
  • 3
    • 0013524130 scopus 로고
    • An isomorphism theorem for real closed fields
    • P. Erdös, L. Gillman and M. Henriksen, An isomorphism theorem for real closed fields, Ann. Math., 61 (1955), 542-554.
    • (1955) Ann. Math. , vol.61 , pp. 542-554
    • Erdös, P.1    Gillman, L.2    Henriksen, M.3
  • 5
    • 0005329777 scopus 로고
    • reprinted, Springer-Verlag
    • L. Gilmann and M. Jerison, Rings of Continuous Functions, Von Nostrandt Reinhold, 1960 (reprinted: Graduate Texts in Mathematics, 43, Springer-Verlag, 1976).
    • (1976) Graduate Texts in Mathematics , vol.43
  • 6
    • 1442326373 scopus 로고
    • Calculus is algebra
    • W.S. Hatcher, Calculus is algebra, Am. Math. Monthly, 98 (1982), 362-370.
    • (1982) Am. Math. Monthly , vol.98 , pp. 362-370
    • Hatcher, W.S.1
  • 7
    • 0003320556 scopus 로고    scopus 로고
    • A gentle introduction to nonstandard extensions
    • "Nonstandard Analysis: Theory and Applications", L.O. Arkeryd, N.J. Cutland and C.W. Henson (eds.), Kluwer Academic Publishers
    • C.W. Henson, A gentle introduction to nonstandard extensions, in "Nonstandard Analysis: Theory and Applications", L.O. Arkeryd, N.J. Cutland and C.W. Henson (eds.), NATO ASI series C, 493, Kluwer Academic Publishers, 1997, 1-49.
    • (1997) NATO ASI Series C , vol.493 , pp. 1-49
    • Henson, C.W.1
  • 8
    • 1442277297 scopus 로고
    • Non-standard Analysis
    • California Institute of Technology, Pasadena
    • W.A.J. Luxemburg, Non-standard Analysis, Lecture Notes, California Institute of Technology, Pasadena, 1962.
    • (1962) Lecture Notes
    • Luxemburg, W.A.J.1
  • 9
    • 1442301917 scopus 로고
    • Good ideals in fields of sets
    • H.J. Keisler, Good ideals in fields of sets, Ann. Math., 79 (1964), 338-359.
    • (1964) Ann. Math. , vol.79 , pp. 338-359
    • Keisler, H.J.1
  • 10
    • 84871408962 scopus 로고
    • Ultraproducts and saturated models
    • = Indag. Math., 26
    • H.J. Keisler, Ultraproducts and saturated models, Koninkl. Ned. Akad. Wetensch. Proc. Ser. A, 67 (1964) (= Indag. Math., 26), 178-186.
    • (1964) Koninkl. Ned. Akad. Wetensch. Proc. Ser. A , vol.67 , pp. 178-186
    • Keisler, H.J.1
  • 12
    • 0011307905 scopus 로고
    • Ultraproducts in the theory of models
    • S.B. Kochen, Ultraproducts in the theory of models, Ann. Math., 74 (1961), 221-261.
    • (1961) Ann. Math. , vol.74 , pp. 221-261
    • Kochen, S.B.1
  • 13
    • 0038965663 scopus 로고
    • Ultrafilters and independent sets
    • K. Kunen, Ultrafilters and independent sets, Trans. Amer. Math. Soc., 172 (1972), 199-206.
    • (1972) Trans. Amer. Math. Soc. , vol.172 , pp. 199-206
    • Kunen, K.1
  • 14
    • 0039557092 scopus 로고
    • Non-isomorphic hyper-real fields from non-isomorphic ultrapowers
    • J. Roitman, Non-isomorphic hyper-real fields from non-isomorphic ultrapowers, Math. Z., 181 (1982), 93-96.
    • (1982) Math. Z. , vol.181 , pp. 93-96
    • Roitman, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.