The article deals with the influence problem of digitalization processes on prospects urban communities’ consolidation, which is implemented through a system multi-level factors. opinions modern researchers and practitioners are studied introduction impact digital technologies process social consolidation. based study results expert surveys focus group interviews, ambivalent assessments partici...

If G is an abelian torsion group with generating subset G0, then by a classical result in the theory of non-unique factorizations, the block monoid B(G0) is a half-factorial monoid if each of its atoms has cross number 1. In this case, G0 is called a half-factorial set. In this note, we introduce the notion of a k-quasihalf-factorial set and show for many abelian torsion groups that G0 k-quasi-...