ALGEBRAS OF DISTRIBUTIONS FOR BINARY FORMULAS IN COUNTABLY CATEGORICAL WEAKLY o-MINIMAL STRUCTURES

被引：16

作者：

Emel'yanov, D. Yu. ^{[1
,2
]}

Kulpeshov, B. Sh. ^{[2
,3
]}

Sudoplatov, S. V. ^{[1
,2
,4
,5
]}

机构：

[1] Novosibirsk State Univ, Ul Pirogova 1, Novosibirsk 630090, Russia

[2] Minist Educ & Sci RK, Inst Math & Math Modeling, Ul Pushkina 125, Alma Ata 050010, Kazakhstan

[3] Int Informat Technol Univ, Manas Str 34A,Zhandosov Str 8A, Alma Ata 050040, Kazakhstan

[4] Sobolev Inst Math, Pr Akad Koptyuga 4, Novosibirsk 630090, Russia

[5] Novosibirsk State Tech Univ, Pr Marksa 20, Novosibirsk 630073, Russia

来源：

ALGEBRA AND LOGIC | 2017年 / 56卷 / 01期

关键词：

countably categorical weakly o-minimal theory; convexity rank; algebra of distributions for binary isolating formulas; generalized commutative monoid;

D O I：

10.1007/s10469-017-9424-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：13 / 36

页数：24

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