On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments Full article
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Russian Mathematics
ISSN: 1066-369X , E-ISSN: 1934-810X |
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| Output data | Year: 2018, Volume: 62, Number: 4, Pages: 1-12 Pages count : 12 DOI: 10.3103/S1066369X18040011 | ||||||||||
| Tags | algebra of distributions of binary isolating formulas, abelian group, elementary theory, ordered enrichment | ||||||||||
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Abstract:
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.
Cite:
Baikalova K.A.
, Emel’yanov D.Y.
, Kulpeshov B.S.
, Palyutin E.A.
, Sudoplatov S.V.
On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments
Russian Mathematics. 2018. V.62. N4. P.1-12. DOI: 10.3103/S1066369X18040011 WOS Scopus РИНЦ OpenAlex
On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments
Russian Mathematics. 2018. V.62. N4. P.1-12. DOI: 10.3103/S1066369X18040011 WOS Scopus РИНЦ OpenAlex
Original:
Байкалова К.А.
, Емельянов Д.Ю.
, Кулпешов Б.Ш.
, Палютин Е.А.
, Судоплатов С.В.
Об алгебрах распределений бинарных изолирующих формул теорий абелевых групп и их упорядоченных обогащений
Известия высших учебных заведений. Серия: Математика. 2018. №4. С.3-15. РИНЦ
Об алгебрах распределений бинарных изолирующих формул теорий абелевых групп и их упорядоченных обогащений
Известия высших учебных заведений. Серия: Математика. 2018. №4. С.3-15. РИНЦ
Dates:
| Submitted: | Jan 13, 2017 |
| Published print: | Apr 4, 2018 |
| Published online: | Apr 4, 2018 |
Identifiers:
| Web of science: | WOS:000429242100001 |
| Scopus: | 2-s2.0-85045111125 |
| Elibrary: | 35504309 |
| OpenAlex: | W2799447649 |