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On a Question of the Theory of Partially Composition Formations

    https://doi.org/10.1142/S1005386714000388Cited by:9 (Source: Crossref)

    Let n > 0 and ω be a non-empty set of primes. It is proved that the lattice of all τ-closed n-multiply ω-composition formations is inductive. It gives a positive answer to a question of Skiba asked in 2001 at the Gomel Algebraic Seminar.

    Research of the second author is partially supported by Belarussian Republic Foundation of Fundamental Researches (BRFFI–RFFI, grant F10R-231).

    Dedicated to Professor K. P. Shum on the occasion of his 70th birthday

    AMSC: 20D10, 20F17