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Recursively categorical linear orderings. (English) Zbl 0493.03022

##### MSC:
 03D45 Theory of numerations, effectively presented structures 06A05 Total orders
##### Keywords:
recursive structure
Full Text:
##### References:
 [1] C. J. Ash and A. Nerode, Intrinsically recursive relations, Aspects of effective algebra (Clayton, 1979) Upside Down A Book Co., Yarra Glen, Vic., 1981, pp. 26 – 41. · Zbl 0467.03041 [2] S. S. Gončarov, Certain properties of the constructivization of Boolean algebras, Sibirsk. Mat. Ž. 16 (1975), 264 – 278, 420. (loose errata) (Russian). [3] A. I. Mal$$^{\prime}$$cev, On recursive Abelian groups, Dokl. Akad. Nauk SSSR 146 (1962), 1009 – 1012 (Russian). [4] A. B. Manaster and J. B. Remmel, Recursively categorical decidable dense two dimensional partial orderings (to appear). · Zbl 0486.03010 [5] P. E. LaRoche, Recursively presented Boolean algebras, Notices Amer. Math. Soc. 24 (1977), A-552. [6] A. T. Nurtazin, Strong and weak constructivizations and computable families, Algebra and Logic 13 (1975), 177-184. · Zbl 0305.02061 [7] J. B. Remmel, Recursive isomorphisms of recursive Boolean algebras, J. Symbolic Logic (to appear). · Zbl 0543.03031 [8] -, Recursive Boolean algebras with recursive sets of atoms, J. Symbolic Logic (to appear). · Zbl 0543.03032 [9] -, Recursive isomorphisms of recursive Boolean algebras and atomic elements (in preparation). [10] R. L. Smith, Two theorems on autostability in $$p$$-groups (Proc. Conf. Math. Logic, Univ. Connecticut), Lecture Notes in Math, (to appear). · Zbl 0488.03024
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