Σ-bounded algebraic systems and universal functions. II

被引：6

作者：

Khisamiev, A. N. ^{[1
]}

机构：

[1] Sobolev Inst Math Novosibirsk, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2010年 / 51卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

admissible set; Sigma-definability; computability; universal Sigma-function; Sigma-bounded algebraic system; Ershov algebra; Boolean algebra; abelian p-group;

D O I：

10.1007/s11202-010-0056-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ershov algebras, Boolean algebras, and abelian p-groups are Sigma-bounded systems, and there exist universal Sigma-functions in hereditarily finite admissible sets over them.

引用

页码：537 / 551

页数：15

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