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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 4, Pages 3–15 (Mi ivm9344)  
This article is cited in 9 scientific papers (total in 10 papers)

On algebras of distributions of isolating formulas of theory of abelian groups and their ordered enrichings

K. A. Baikalovaa, D. Yu. Emel'yanovb, B. Sh. Kulpeshovcd, E. A. Palyutinebd, S. V. Sudoplatovdeba

a Novosibirsk State Technical University, 20 K. Marks Ave., Novosibirsk, 630073 Russia
b Novosibirsk State University, 1 Pirogova str., Novosibirsk, 630090 Russia
c International Information Technology University, 34A/8A, Manas Zhandosov str., Almaty, 050040 Republic of Kazakhstan
d Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010 Republic of Kazakhstan
e Sobolev Institute of Mathematics SB RAS, 4 Academician Koptyug Ave., Novosibirsk, 630090 Russia
Full-text PDF (263 kB) Citations (10)
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Abstract: We describe algebras of distributions of binary isolating formulas for theories of abelian groups and their ordered enriching. This description is based on general theory of algebras of isolating formulas and uses the specificity of basedness of theories of abelian groups which is based on Shmeleva's invariants. We give Cayley tables for algebras corresponding to theories of base abelian groups and their ordered enrichings, and point out a machinery of transformation of theories of base abelian groups into algebras for arbitrary theories of abelian groups.
Keywords: algebra of distributions of binary isolating formulas, abelian group, elementary theory, ordered enriching.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0830/ГФ4
Russian Foundation for Basic Research 17-01-00531_a
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
Received: 13.01.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 4, Pages 1–12
DOI: https://doi.org/10.3103/S1066369X18040011
Bibliographic databases:
Document Type: Article
UDC: 510.670:512.541
Language: Russian
Citation: K. A. Baikalova, D. Yu. Emel'yanov, B. Sh. Kulpeshov, E. A. Palyutin, S. V. Sudoplatov, “On algebras of distributions of isolating formulas of theory of abelian groups and their ordered enrichings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 4, 3–15; Russian Math. (Iz. VUZ), 62:4 (2018), 1–12
Citation in format AMSBIB
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\paper On algebras of distributions of isolating formulas of theory of abelian groups and their ordered enrichings
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 4
\pages 3--15
\mathnet{http://mi.mathnet.ru/ivm9344}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 4
\pages 1--12
\crossref{https://doi.org/10.3103/S1066369X18040011}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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