Submission date: 17 December 2021

Abstract:

We study and describe possibilities for arities of elementary theories and of their expansions. Links for arities with respect to Boolean algebras, to disjoint unions and to compositions of structures are shown. The dynamics for arities of theories is described.

Mathematics Subject Classification: 03C07, 03C68

Keywords and phrases:

Full text arXiv 2112.09593: pdf, ps.