Stone lattices of multiply $Omega$-canonical Fitting classes

Abstract

Let L be a lattice with 0 and 1.A distributive lattice L with pseudocomplements, each element of which satises an identityis called a Stone lattice.The article describes multiply Ω-canonical Fitting classes with a Stone lattice of multiply Ω-canonical Fitting subclasses.It is shown that such Fitting classes are subclasses of the class DΩ = ×A∈ΩGA = (B1 × B2 × ... × Bn : Bi ∈ GA i for some Ai ∈ Ω, i ∈ {1, 2, . . ., n}, n ∈ N).