On the structure of families of immune, hyperimmune and hyperhyperimmune sets
Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 301-313

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The author studies the algebraic structures formed by $m$-degrees containing immune, hyperimmune and hyperhyperimmune sets. He shows that the family of all immune sets relative to $m$-reducibility forms a $c$-universal upper semilattice, the families of all hyperimmune and hyperhyperimmune sets do not form subsemilattices of the semilattice of all $m$-degrees, etc. Bibliography: 9 titles.
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     author = {A. A. Mal'tsev},
     title = {On the structure of families of immune, hyperimmune and hyperhyperimmune sets},
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A. A. Mal'tsev. On the structure of families of immune, hyperimmune and hyperhyperimmune sets. Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 301-313. http://geodesic.mathdoc.fr/item/SM_1985_52_2_a1/