Algebraic Dependence of (x,z): If (x,y,z) & (x,y) Dependent

[disregardthat]

If (x,y,z) and (x,y) is algebraically dependent, is then (x,z) algebraically dependent?

Does by the way anyone have a good web-source for information about transcendence degrees?

 

[g_edgar]

Definitions needed. What are x,y,z? What does it mean for an ordered triple and and ordered pair to be algebraically dependent?

 

[adriank]

Any subset of an algebraically independent set is algebraically independent.