On a Question of the Theory of Partially Composition Formations
Abstract
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