Exercise 111.54.1 (Definitions). Provide definitions of the italicized concepts.

a

*separated*scheme,a

*universally closed*morphism of schemes,*$A$ dominates $B$*for local rings $A, B$ contained in a common field,the

*dimension*of a scheme $X$,the

*codimension*of an irreducible closed subscheme $Y$ of a scheme $X$,

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