Algebraic independence

  • #1
disregardthat
Science Advisor
1,854
33

Main Question or Discussion Point

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?
 

Answers and Replies

  • #2
607
0
Definitions needed. What are x,y,z? What does it mean for an ordered triple and and ordered pair to be algebraically dependent?
 
  • #3
534
1
Any subset of an algebraically independent set is algebraically independent.
 

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