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Volumn 133, Issue 9, 2005, Pages 2501-2505

A purely algebraic characterization of the hyperreal numbers

Author keywords

Algebraic properties of functions spaces; Nonstandard analysis; Rings of functions

Indexed keywords


EID: 24944500015     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-07429-0     Document Type: Conference Paper
Times cited : (12)

References (10)
  • 1
    • 24944453051 scopus 로고
    • Rings of real-valued continuous functions. II
    • MR0607959 (83f:54011)
    • M.Y. Antonovskij, D.V. Chudnovsky, G.V. Chudnovsky and E. Hewitt, Rings of real-valued continuous functions. II, Math. Z. 176 (1981), 151-186. MR0607959 (83f:54011)
    • (1981) Math. Z. , vol.176 , pp. 151-186
    • Antonovskij, M.Y.1    Chudnovsky, D.V.2    Chudnovsky, G.V.3    Hewitt, E.4
  • 2
    • 1442305159 scopus 로고    scopus 로고
    • A ring homomorphism is enough to get nonstandard analysis
    • MR2040525 (2004k:16084)
    • V. Benci and M. Di Nasso, A ring homomorphism is enough to get nonstandard analysis, Bull. Belg. Math. Soc. - S. Stevin 10 (2003), 481-490. MR2040525 (2004k:16084)
    • (2003) Bull. Belg. Math. Soc. - S. Stevin , vol.10 , pp. 481-490
    • Benci, V.1    Di Nasso, M.2
  • 4
    • 0347707729 scopus 로고
    • Real closed rings I. Residue rings of rings of continuous functions
    • MRR0843243 (87h:12001)
    • G.L. Cherlin and M.A. Dickmann, Real closed rings I. Residue rings of rings of continuous functions, Fund. Math. 126 (1986), 147-183. MRR0843243 (87h:12001)
    • (1986) Fund. Math. , vol.126 , pp. 147-183
    • Cherlin, G.L.1    Dickmann, M.A.2
  • 5
    • 0013660937 scopus 로고    scopus 로고
    • Oxford University Press. MR1420859 (98b:12005)
    • H.G. Dales and W.H. Woodin, Super-real Fields, Oxford University Press, 1996. MR1420859 (98b:12005)
    • (1996) Super-real Fields
    • Dales, H.G.1    Woodin, W.H.2
  • 7
    • 84935154381 scopus 로고
    • Rings of real-valued continuous functions
    • MR0026239 (10,126e)
    • E. Hewitt, Rings of real-valued continuous functions, Trans. Amer. Math. Soc. 64 (1948), 45-99. MR0026239 (10,126e)
    • (1948) Trans. Amer. Math. Soc. , vol.64 , pp. 45-99
    • Hewitt, E.1
  • 9
    • 84974003743 scopus 로고
    • ∞([0, 1], ℝ)
    • MR1047403 (91k:12009)
    • ∞([0, 1], ℝ), Pacific J. Math. 143 (1990), 79-153. MR1047403 (91k:12009)
    • (1990) Pacific J. Math. , vol.143 , pp. 79-153
    • Moloney, J.J.1
  • 10
    • 0039557092 scopus 로고
    • Non-isomorphic hyper-real fields from non-isomorphic ultrapowers
    • MR0671717 (84a:54030)
    • J. Roitman, Non-isomorphic hyper-real fields from non-isomorphic ultrapowers, Math. Z. 181 (1982), 93-96. MR0671717 (84a:54030)
    • (1982) Math. Z. , vol.181 , pp. 93-96
    • Roitman, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.