If vector spaces are projective modules then multiple choice holds

被引：0

作者：

Howard, P ^{[1
]}

机构：

[1] Eastern Michigan Univ, Dept Math, Ypsilanti, MI 48197 USA

来源：

MATHEMATICAL LOGIC QUARTERLY | 2005年 / 51卷 / 02期

关键词：

axiom of multiple choice; vector space; projective module;

D O I：

10.1002/malq.200410018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the assertion that every vector space is a projective module implies the axiom of multiple choice and that the reverse implication does not hold in set theory weakened to permit the existence of atoms. (C) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：187 / 190

页数：4

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