On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments

K. A. Baikalova, D. Yu Emel’yanov, B. Sh Kulpeshov, E. A. Palyutin, S. V. Sudoplatov

Результат исследования: Научные публикации в периодических изданияхстатья

3 Цитирования (Scopus)

Аннотация

We describe algebras of distributions of binary isolating formulas for theories of abelian groups and some of their ordered enrichments. The base of this description is the general theory of algebras of isolating formulas. We also take into account the specificity of the basedness of theories of abelian groups on Szmielew invariants. We give Cayley tables for algebras that correspond to theories of basic abelian groups and their ordered enrichments and propose a technique for transforming algebras for theories of basic abelian groups into algebras for arbitrary theories of abelian groups.

Язык оригиналаанглийский
Страницы (с-по)1-12
Число страниц12
ЖурналRussian Mathematics
Том62
Номер выпуска4
DOI
СостояниеОпубликовано - 1 апр 2018

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