Computable ideals in $I$-algebras
Algebra i logika, Tome 49 (2010) no. 2, pp. 157-174.

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We give algebraic descriptions of relatively intrinsically computable ideals in $I$-algebras (Boolean algebras with a finite number of distinguished ideals) and of intrinsically computable ideals for the case of two distinguished ideals in the language of $I$-algebras.
Keywords: Boolean algebra with finite number of distinguished ideals, intrinsically computable ideal, relatively intrinsically computable ideal.
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     author = {P. E. Alaev},
     title = {Computable ideals in $I$-algebras},
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P. E. Alaev. Computable ideals in $I$-algebras. Algebra i logika, Tome 49 (2010) no. 2, pp. 157-174. http://geodesic.mathdoc.fr/item/AL_2010_49_2_a0/

[1] P. E. Alaev, “Avtoustoichivye I-algebry”, Algebra i logika, 43:5 (2004), 511–550 | MR | Zbl

[2] C. Ash, J. Knight, M. Manasse, T. Slaman, “Generic copies of countable structures”, Ann. Pure Appl. Logic, 42:3 (1989), 195–205 | DOI | MR | Zbl

[3] J. Chisholm, “Effective model theory vs. recursive model theory”, J. Symb. Log., 55:3 (1990), 1168–1191 | DOI | MR | Zbl

[4] S. P. Odintsov, “Nasledstvennye rekursivno-perechislimye podalgebry rekursivnoi bulevoi algebry”, Algebra i logika, 31:1 (1992), 38–46 | MR | Zbl

[5] S. S. Goncharov, R. Douni, D. Khirshveld, “Spektry stepenei dlya otnoshenii na bulevykh algebrakh”, Algebra i logika, 42:2 (2003), 182–193 | MR | Zbl

[6] M. Moses, “Recursive linear orderings with recursive successivities”, Ann. Pure Appl. Logic, 27:3 (1984), 253–264 | DOI | MR | Zbl

[7] D. R. Hirschfeldt, “Degree spectra of relations on computable structures in the presence of $\Delta^0_2$ isomorphisms”, J. Symb. Log., 67:2 (2002), 697–720 | DOI | MR | Zbl