N. N. Vorob'ev, A. I. Titova, “Stone lattices of multiply <nobr>$\omega$</nobr>-local fitting classes”, PFMT, 2017, Issue 4(33),Pages <nobr>48

MATHEMATICS

Stone lattices of multiply $\omega$-local fitting classes

N. N. Vorob'ev, A. I. Titova

P.M. Masherov Vitebsk State University

Abstract: $n$-Multiply $\omega$-local (totally $\omega$-local) Fitting classes having a Stone lattice of n-multiply $\omega$-local (totally $\omega$-local) Fitting subclasses are described.

Keywords: Fitting class, complete lattice of Fitting classes, atom of lattice, distributive lattice, lattice with complements, pseudocomplement, Boolean lattice, Stone lattice.

UDC: 512.542

Received: 11.08.2017