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On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments. / Baikalova, K. A.; Emel’yanov, D. Yu; Kulpeshov, B. Sh et al.

In: Russian Mathematics, Vol. 62, No. 4, 01.04.2018, p. 1-12.

Research output: Contribution to journal › Article › peer-review

Harvard

Baikalova, KA, Emel’yanov, DY, Kulpeshov, BS, Palyutin, EA & Sudoplatov, SV 2018, 'On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments', Russian Mathematics, vol. 62, no. 4, pp. 1-12. https://doi.org/10.3103/S1066369X18040011

APA

Baikalova, K. A., Emel’yanov, D. Y., Kulpeshov, B. S., Palyutin, E. A., & Sudoplatov, S. V. (2018). On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments. Russian Mathematics, 62(4), 1-12. https://doi.org/10.3103/S1066369X18040011

Vancouver

Baikalova KA, Emel’yanov DY, Kulpeshov BS, Palyutin EA, Sudoplatov SV. On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments. Russian Mathematics. 2018 Apr 1;62(4):1-12. doi: 10.3103/S1066369X18040011

Author

Baikalova, K. A. ; Emel’yanov, D. Yu ; Kulpeshov, B. Sh et al. / On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments. In: Russian Mathematics. 2018 ; Vol. 62, No. 4. pp. 1-12.

BibTeX

@article{434b338c22b241fd88428c998f14f9c4,
title = "On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments",
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.",
keywords = "abelian group, algebra of distributions of binary isolating formulas, elementary theory, ordered enrichment",
author = "Baikalova, {K. A.} and Emel{\textquoteright}yanov, {D. Yu} and Kulpeshov, {B. Sh} and Palyutin, {E. A.} and Sudoplatov, {S. V.}",
note = "Publisher Copyright: {\textcopyright} 2018, Allerton Press, Inc.",
year = "2018",
month = apr,
day = "1",
doi = "10.3103/S1066369X18040011",
language = "English",
volume = "62",
pages = "1--12",
journal = "Russian Mathematics",
issn = "1066-369X",
publisher = "Allerton Press Inc.",
number = "4",

}

RIS

TY - JOUR

T1 - On Algebras of Distributions of Binary Isolating Formulas for Theories of Abelian Groups and Their Ordered Enrichments

AU - Baikalova, K. A.

AU - Emel’yanov, D. Yu

AU - Kulpeshov, B. Sh

AU - Palyutin, E. A.

AU - Sudoplatov, S. V.

N1 - Publisher Copyright: © 2018, Allerton Press, Inc.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - 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.

AB - 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.

KW - abelian group

KW - algebra of distributions of binary isolating formulas

KW - elementary theory

KW - ordered enrichment

UR - http://www.scopus.com/inward/record.url?scp=85045111125&partnerID=8YFLogxK

U2 - 10.3103/S1066369X18040011

DO - 10.3103/S1066369X18040011

M3 - Article

AN - SCOPUS:85045111125

VL - 62

SP - 1

EP - 12

JO - Russian Mathematics

JF - Russian Mathematics

SN - 1066-369X

IS - 4

ER -

ID: 12439214