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Algebras of distributions for binary formulas in countably categorical weakly o-minimal structures Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2017, Volume: 56, Number: 1, Pages: 13-36 Pages count : 24 DOI: 10.1007/s10469-017-9424-y
Tags countably categorical weakly o-minimal theory, convexity rank, algebra of distributions for binary isolating formulas, generalized commutative monoid
Authors Emel’yanov D.Yu. 1,2 , Kulpeshov B.Sh. 2,3 , Sudoplatov S.V. 1,2,4,5
Affiliations
1 Novosibirsk State University
2 Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science RK
3 International Information Technologies University
4 Sobolev Institute of Mathematics
5 Novosibirsk State Technical University

Abstract: Algebras of distributions for binary isolating formulas over a type for countably categorical weakly o-minimal theories are described, and the generalized commutative property of an algebra of distributions for binary isolating formulas over a pair of types for countably categorical weakly o-minimal theories is characterized in terms of convexity rank.
Cite: Emel’yanov D.Y. , Kulpeshov B.S. , Sudoplatov S.V.
Algebras of distributions for binary formulas in countably categorical weakly o-minimal structures
Algebra and Logic. 2017. V.56. N1. P.13-36. DOI: 10.1007/s10469-017-9424-y WOS Scopus OpenAlex
Original: Емельянов Д.Ю. , Кулпешов Б.Ш. , Судоплатов С.В.
Алгебры распределений бинарных формул в счетно категоричных слабо о-минимальных структурах
Алгебра и логика. 2017. Т.56. №1. С.20-54. DOI: 10.17377/alglog.2017.56.102 РИНЦ
Dates:
Submitted: Apr 3, 2015
Published print: May 8, 2017
Published online: May 8, 2017
Identifiers:
Web of science: WOS:000401463200002
Scopus: 2-s2.0-85019049909
OpenAlex: W2611631256
Citing:
DB Citing
Scopus 15
OpenAlex 11
Web of science 16
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