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Proving Less Than 4 Monomials Can't Generate Ideal J
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[QUOTE="Metric_Space, post: 3369263, member: 333233"] [h2]Homework Statement [/h2] Show that the ideal J=(a^2, abc, ac^2, c^3) cannot be generated by less than 4 monomials. [h2]Homework Equations[/h2] None [h2]The Attempt at a Solution[/h2] I was thinking of computer a Groebner basis for this (which is what I ended up doing) However, I'm not sure how I can show there it cannot be generated by less than 4 monomials. I do know that this ideal is indeed also a Groebner basis, but not sure where to go from here. [/QUOTE]
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Proving Less Than 4 Monomials Can't Generate Ideal J
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