Girish Mahajan (Editor)

Jacobian ideal

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit

In mathematics the Jacobian ideal or gradient ideal is the ideal generated by the Jacobian of a function or function germ. Let O ( x 1 , … , x n ) denote the ring of smooth functions and f a function in the ring. The Jacobian ideal of f is

J f := ⟨ ∂ f ∂ x 1 , … , ∂ f ∂ x n ⟩ .

References

Jacobian ideal Wikipedia
(Text) CC BY-SA