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.

Inductive lattices of totally composition formations

“…Vorob'ev [17] proved that the lattice of all totally saturated formations is inductive. Moreover, it is already known that the lattice of all multiply composition formations is inductive (see [16]). However, the following question was still open.…”