A class of $${\Sigma _{3}^{0}}$$ modular lattices embeddable as principal filters in $${\mathcal{L}^{\ast }(V_{\infty })}$$

Author:

Dimitrov Rumen

Publisher

Springer Science and Business Media LLC

Subject

Logic,Philosophy

Reference10 articles.

1. Aigner, M.: Combinatorial theory. Reprint of the 1979 original. Classics in Mathematics, viii+483 pp. Springer, Berlin (1997)

2. Dimitrov, R.D.: Computably Enumerable Vector Spaces, Dependence Relations, and Turing Degrees. Ph.D. Dissertation, The George Washington University (2002)

3. Dimitrov R.D.: Quasimaximality and principal filters isomorphism between $${\mathcal{E}^{\ast }}$$ and $${\mathcal{L}^{\ast }(V_{\infty})}$$ . Math. Log. 43, 415–424 (2004)

4. Downey, R. G.: Undecidability of $${\mathcal{L}(F_{\infty})}$$ and other lattices of r.e. substructures. Ann. Pure Appl. Log. 32(1), 17–26 (1986); corr. ibid. 48, 299–301 (1990)

5. Downey, R.G., Remmel, J.B.: Computable algebras and closure systems: coding properties. Handbook of Recursive Mathematics, vol. 2, pp. 977–1039, Stud. Logic Found. Math., vol. 139. North-Holland, Amsterdam (1998)

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