On generalizations of C*-embedding for wallman rings

Journal of the Australian Mathematical Society

H. L. Bentley¹ 

[1] B. J. Taylor

关键词: 54 C 45;    54 C 40;    54 C 50 54 E 05;   

DOI  :  10.1017/S1446788700038805

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Biles (1970) has called a subring A of the ring C(X), of all real valued continuous functions on a topological space X, a Wallman ring on X whenever Z(A), the zero sets of functions belonging to A, forms a normal base on X in the sense of Frink (1964). Previously, we have related algebraic properties of a Wallman ring A to topological properties of the Wallman compactification w(Z(A)) of X determined by the normal base Z(A). Here we introduce two different generalizations of the concept of “a C*-embedded subset” and study relationships between these and topological (respectively, algebraic) properties of w(Z(A)) (respectively, A).

【 授权许可】

Unknown