User talk:Bishesh.Baniya
From cartan.math.umb.edu
Professor I am confused about How we went from 2nd baby theory to Grown up theory of general Ideals.
Dickson's Lemma says monomial Ideal is generated by finite set of monomials. But when we apply that to grown up theory class notes says By Dickson's lemma, there exists some finite set g1......gs (belongs to) I such that LT(g1).......LT(gs) generates LT(I).
I do understand by dickson's lemma LT(I) must be generated by some finite monomials LT(g1).....LT(gs). But I don't understand how did Dickson's lemma said for general ideal there exists some finite polynomial g1.......gs that belongs to a general Ideal?
Thank you, Bishesh Baniya
