@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)}, volume = {14}, year = {1977}, pages = {57-75}, mrnumber = {520991}, zbl = {0405.03036}, language = {en}, url = {http://dml.mathdoc.fr/item/PDML_1977__14_4_57_0} }
Richard, Denis. On External Properties of Nonstandard Models of Arithmetic. Publications du Département de mathématiques (Lyon), Tome 14 (1977) pp. 57-75. http://gdmltest.u-ga.fr/item/PDML_1977__14_4_57_0/
[1] An introduction to the theory of numbers - [Oxford at the Clarendon press] - fourth edition - 1959. | Zbl 0086.25803
and -[2] The Theory of groups (I, II) [Chelsea, Pub. Co. New-York] - Second edition - 1960. | MR 109842
-[3] Arithmétique des corps -[Hermann, Paris] - 1972. | MR 330093 | Zbl 0253.12101
-[4] Ultrapuissances et applications dans le cadre de l'analyse non standard -[Séminaire Choquet (polycopié) 1969-70. n° 8, 25 p.]. | Numdam | MR 286646 | Zbl 0216.01206
-[5] Applied non standard analysis [A Wiley Interscience publication - New-York] - 1977. | MR 505473 | Zbl 0359.02060
-[6] A note on a paper of Kemeny's - [Mathematische Annalen, vol. 136, p. 466] - 1958. | MR 98686 | Zbl 0081.24801
-[7] Undecidable problems of elementary number theory - [Mathematische Annalen, vol. 135, p. 160- 169]- 1958. | MR 98685 | Zbl 0081.24703
-[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 152447 | Zbl 0126.01103
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 163842 | Zbl 0148.25501
-[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 0266.02033
-[12] Skies, constellations and monads - in contributions to non standard analysis - [North Holland Publishing Co - Amsterdam] - 1972. | MR 645172 | Zbl 0257.02047
-[13] Non-standard Analysis - [North Holland Publishing Co - Amsterdam] - 1966. | MR 205854 | Zbl 0151.00803
-[14] A new approach of the theory of algebraic numbers in Rend. Acc. Naz. Lincei , 40 , pp. 22 -225 ; 1966. | Zbl 0173.00801
-[15] Non-standard arithmetic in Bull of the Am. Math. Soc. , vol. 73 , n° 6, pp. 818 - 843 ; 1967. | MR 218231 | Zbl 0189.28403
-[17] Non-standard theory of Dedekind rings in Proc. Roy. Acad. Sci. Amsterdam - 1967. | MR 223351 | Zbl 0189.28501
-[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 268155 | Zbl 0182.32701
-[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 238819 | Zbl 0195.01403
-[20] Model theory - (North Holland Pub. Co. Amsterdam) Second edition - 1977. | MR 532927 | Zbl 0697.03022
and -[21] Infinite Abelian groups - Academic Press (N. Y. and London 1970). | MR 255673 | Zbl 0209.05503
-[22] Introduction to the theory of infinitesimals _ Academic Press (N. Y. and London 1976). | MR 491163 | Zbl 0336.26002
and -