@article{CMUC_1981_22_3_a12,
author = {H\'ajek, Petr},
title = {Completion closed algebras and models of {Peano} arithmetic},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {585--594},
year = {1981},
volume = {22},
number = {3},
mrnumber = {633586},
zbl = {0499.03022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1981_22_3_a12/}
}
Hájek, Petr. Completion closed algebras and models of Peano arithmetic. Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 3, pp. 585-594. http://geodesic.mathdoc.fr/item/CMUC_1981_22_3_a12/
[1] H. FRIEDMAN: Countable models of set theories. in Proc. Cambridge Summer School in Logic, Mathias and Rogers, eds. Lecture Notes in Math. 337, 539-513. | MR | Zbl
[2] H. GAIFMAN: A note on models and submodels of arithmetic. in Conference in Math. Logic London 70, Lecture Notes in Math. 255. | MR
[3] D. GUASPARI: Partially conservative extensions of arithmetic. Trans. AMS 254 (1979), 47-68. | MR | Zbl
[4] P. HÁJEK P. PUDLÁK: Two orderings of the class of all countable models of Peano arithmetic. in Model Theory of Algebra and Arithmetic, Lecture Notes in Math, 834, p. 174-185. | MR
[5] D. JENSEN A. EHRENFEUCHT: Some problems in elementary arithmetic. Fund. Math. 92 (1970), 223-245. | MR
[6] D. SCOTT: Algebras of sets binumerable in complete extensions of arithmetic. in Recursive Function Theory (Dekker, ed.) AMS 1962, 117-122. | MR | Zbl
[7] C. SMORYŃSKI: Recursively saturated nonstandard models of arithmetic. preprint (reworked version). | MR
[8] C. SMORYŃSKI: Nonstandard models of arithmetic. Univ. Utrecht, preprint 153, April 1980.