Structures determined by prime ideals of rings of functions
Structures determined by prime ideals of rings of functions
Introduction. Let 3 and Y31 respectively denote the category of commutative rings with unity and the category of completely regular Hausdorff spaces; also, ' denotes the full-subcategory of -31 whose objects are compact, and (TD the full-subcategory of ' whose objects are totally-disconnected. The collection of prime ideals of A …