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The intersection of all curves is the intersection of a finite number of curves

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#ring-theory #commutative-algebra #algebraic-curves #noetherian #polynomial-rings
58
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the intersection of all curves is not empty.

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#ring-theory #commutative-algebra #algebraic-curves #noetherian #polynomial-rings
216
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Exercise about Ideals, Generators, principal ideals and prime ideals

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#abstract-algebra #polynomials #ring-theory #solution-verification #polynomial-rings
91
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Confused on Proof that Polynomials of Degree $n$ has at most $n$ zeroes (counting multiplicity) from Gallian's Contemporary Abstract Algebra

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#abstract-algebra #polynomials #ring-theory #polynomial-rings
205
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Orders of all the elements in polynomial quotient ring

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#ring-theory #finite-groups #finite-fields #polynomial-rings
78
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Composition Series and Composition Factors.

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#abstract-algebra #modules #polynomial-rings
30
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The meet of two minimal generators of a stable ideal in a polynomial ring

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#ring-theory #commutative-algebra #ideals #lattice-orders #polynomial-rings
157
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Isomorphism Quotient Polynomial Rings 2 Var

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#polynomial-rings #ring-isomorphism
53
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Minimal field of definition of the radical ideal $\sqrt{I}$

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#algebraic-geometry #commutative-algebra #polynomial-rings
113
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Prime & Maximal Ideal in $\mathbb{Z}[x]$

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#ring-theory #maximal-and-prime-ideals #polynomial-rings
44
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Applying ring homomorphism to coefficients of polynomial is a ring homomorphism?

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#ring-theory #ring-homomorphism #polynomial-rings
72
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Show that any ideal in $\mathbb{Z}[\sqrt{-5}]$ is generated by only two elements

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#abstract-algebra #ring-theory #polynomial-rings
60
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Infinite intersection of maximal ideals in two variable polynomial ring

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#abstract-algebra #polynomials #ring-theory #commutative-algebra #polynomial-rings
93
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Is $\sqrt{-5}$ the only prime in $\mathbb Z [\sqrt{-5}]$

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#abstract-algebra #ring-theory #polynomial-rings
46
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Equality of ideals for every value of one variable implies they are equal?

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#commutative-algebra #ideals #polynomial-rings

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