S. V. Sudoplatov, “Almost $n$-ary and almost $n$-aritizable theories”, Sib. Èlektron. Mat. Izv., 2023, Volume 20, Issue 1,Pages 132

Mathematical logic, algebra and number theory

Almost $n$-ary and almost $n$-aritizable theories

S. V. Sudoplatov^ab

^a Novosibirsk State Technical University K. Marx avenue, 20 630073, Novosibirsk, Russia
^b Sobolev Institute of Mathematics Academician Koptyug avenue, 4 630090, Novosibirsk, Russia

Abstract: We study possibilities for almost $n$-ary and $n$-aritizable theories. Their dynamics both in general case, for $\omega$-categorical theories, and with respect to operations for theories are described.

Keywords: elementary theory, almost $n$-ary theory, almost $n$-aritizable theory.

UDC: 510.67

MSC: 03C07, 03C10, 03C68

Received December 28, 2021, published February 19, 2023

Language: English

DOI: 10.33048/semi.2023.20.012