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Let I=(f1,…,fn) and J=(g1,…,gm) be two ideals generated by regular sequences of monomials in the polynomial ring R=k[x1,x2,…,xu]
Show that
Δp(IJ)=ΔI∪ΔJ,where p(IJ) is the polarization of IJ, ΔI is the simplicial complex corresponding to the squarefree monomial ideal I, and ΔJ is the simplicial complex corresponding to the squarefree monomial ideal I.
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How many terms are in the product of monomials?
The product of monomials is a single term.
Is 2x 3x 3y is an example of addition of monomials?
2X + 3X + 3Y ???= 5X + 3Y===============yes, addition of these monomials yields that answer
What is product ofsum and difference of two monomials?
That's the difference of the monomials' squares. If the two numbers are "a" and "b" then (a + b)(a - b) = a^2 - b^2 where ^ means "to the power of".
How do you add monomials?
Adding monomials. Add together like terms. Example 4x + 5x. Add the coefficients. Example 4 + 5 = 9. Keep the base which was x. So the answer to 4x + 5x = 9x
What are two monomials together?
Two monomials would be a Binomial or Polynomial.
