摘要
给出关于不可数域上无限个线性方程及多项式不等式所成之集的可解性的一个紧致性定理,把全集的可解性化归其诸有限子集的可解性.并举例说明这一定理在无限维线性代数中的应用.
A compactness theorem about the solvability of an infinite system S of linear equations and polynomial inequalities over an uncount- able field K(with(?)<(?))is proved,which is a partial generalization of a result of A.Abian.Also,some examples are given to illustrate its applica- tions in infinite dimensional linear algebra.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
1992年第2期136-140,共5页
Journal of Beijing Normal University(Natural Science)
基金
国家教委博士点基金
关键词
不可数域
紧性定理
线性代数
uncountable field
compactness
theorem
infinite
dimensional linear algebra
