@article{PDML_1977__14_4_57_0, author = {Richard, Denis}, title = {On {External} {Properties} of {Nonstandard} {Models} of {Arithmetic}}, journal = {Publications du D\'epartement de math\'ematiques (Lyon)}, pages = {57--75}, publisher = {Universit\'e Claude Bernard - Lyon 1}, volume = {14}, number = {4}, year = {1977}, mrnumber = {520991}, zbl = {0405.03036}, language = {en}, url = {http://archive.numdam.org/item/PDML_1977__14_4_57_0/} }
TY - JOUR AU - Richard, Denis TI - On External Properties of Nonstandard Models of Arithmetic JO - Publications du Département de mathématiques (Lyon) PY - 1977 SP - 57 EP - 75 VL - 14 IS - 4 PB - Université Claude Bernard - Lyon 1 UR - http://archive.numdam.org/item/PDML_1977__14_4_57_0/ LA - en ID - PDML_1977__14_4_57_0 ER -
%0 Journal Article %A Richard, Denis %T On External Properties of Nonstandard Models of Arithmetic %J Publications du Département de mathématiques (Lyon) %D 1977 %P 57-75 %V 14 %N 4 %I Université Claude Bernard - Lyon 1 %U http://archive.numdam.org/item/PDML_1977__14_4_57_0/ %G en %F PDML_1977__14_4_57_0
Richard, Denis. On External Properties of Nonstandard Models of Arithmetic. Publications du Département de mathématiques (Lyon), Volume 14 (1977) no. 4, pp. 57-75. http://archive.numdam.org/item/PDML_1977__14_4_57_0/
[1] An introduction to the theory of numbers - [Oxford at the Clarendon press] - fourth edition - 1959. | Zbl
and -[2] The Theory of groups (I, II) [Chelsea, Pub. Co. New-York] - Second edition - 1960. | MR
-[3] Arithmétique des corps -[Hermann, Paris] - 1972. | MR | Zbl
-[4] Ultrapuissances et applications dans le cadre de l'analyse non standard -[Séminaire Choquet (polycopié) 1969-70. n° 8, 25 p.]. | Numdam | MR | Zbl
-[5] Applied non standard analysis [A Wiley Interscience publication - New-York] - 1977. | MR | Zbl
-[6] A note on a paper of Kemeny's - [Mathematische Annalen, vol. 136, p. 466] - 1958. | MR | Zbl
-[7] Undecidable problems of elementary number theory - [Mathematische Annalen, vol. 135, p. 160- 169]- 1958. | MR | Zbl
-[8] Modelle der Arithmetic in Infinistic methods - Proceedings of a symposium on foundations of Mathematics, Warsaw - 1959 - [Pergamon Press'Oxford, PWN, Warsaw pp. 257-263] - 1961. | MR | Zbl
und -[9] On non standard models for number theory in Essays on the foundations of Mathematics - [Magnes Press, Hebrew University, Jerusalem pp. 259 - 268] - 1961. | MR | Zbl
-[10] On the structure of non standard models of arithmetic in Proceedings of the American Mathema tical Society - Vol. 27 n° 2, 1971.
-[11] Addition in non standard model of arithmetic in the journal of symbolic logic, vol.37 n° 3,sept. 1972. | Zbl
-[12] Skies, constellations and monads - in contributions to non standard analysis - [North Holland Publishing Co - Amsterdam] - 1972. | MR | Zbl
-[13] Non-standard Analysis - [North Holland Publishing Co - Amsterdam] - 1966. | MR | Zbl
-[14] A new approach of the theory of algebraic numbers in Rend. Acc. Naz. Lincei , 40 , pp. 22 -225 ; 1966. | Zbl
-[15] Non-standard arithmetic in Bull of the Am. Math. Soc. , vol. 73 , n° 6, pp. 818 - 843 ; 1967. | MR | Zbl
-[17] Non-standard theory of Dedekind rings in Proc. Roy. Acad. Sci. Amsterdam - 1967. | MR | Zbl
-[18] Topics in Nonstandard Algebraic Number Theory in Applications of Model Theory to Algebra, Analysis and Probability, pp. 1-17 (edited by W. A. J. Luxemburg, Holt, Rinehart and Winston) - 1969. | MR | Zbl
-[19] Remarks on the Nonstandard Real Axis in Applications of Model Theory to Algebra, Analysis and Probability, pp. 195 - 227 (edited by W. A. J. Luxemburg, Holt, Rinehart and Winston) - 1969. | MR | Zbl
-[20] Model theory - (North Holland Pub. Co. Amsterdam) Second edition - 1977. | MR | Zbl
and -[21] Infinite Abelian groups - Academic Press (N. Y. and London 1970). | MR | Zbl
-[22] Introduction to the theory of infinitesimals _ Academic Press (N. Y. and London 1976). | MR | Zbl
and -