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what is meant "Express the following as polynomials in α of degree at most 2"?

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#ring-theory #field-theory #galois-theory
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Find the minimal polynomial of a root involving cubed roots

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#abstract-algebra #polynomials #ring-theory #field-theory #minimal-polynomials
499
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Residue field at a point on a curve in a surface

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#algebraic-geometry #ring-theory #commutative-algebra #schemes
121
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Complete rings with respect to an I-adic topology

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#ring-theory #local-rings
373
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Proof that ring is commutative

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#abstract-algebra #ring-theory
173
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homomorphic image of a sum of infinite elements

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#abstract-algebra #ring-theory
117
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Let $S \subset R$ be a subring. If $S \subset A_1 \cup...\cup A_n, A_i$ ideals and $n-2$ of which are prime, then $S$ belongs to one of $A_j$

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#abstract-algebra #ring-theory #ideals
691
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Are 2x2 matrices on a Euclidean domain a Euclidean domain?

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#linear-algebra #ring-theory #gcd-and-lcm #euclidean-domain
318
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Definition of inner automorphism on operator algebras

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#abstract-algebra #ring-theory #operator-algebras #c-star-algebras
166
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research about smarandache

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#abstract-algebra #ring-theory
1k
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Dual basis for projective module

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#ring-theory #commutative-algebra #modules
790
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Rank of free module and its free submodule

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#ring-theory #commutative-algebra #modules
167
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Inverse of The Element of Ring

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#abstract-algebra #ring-theory
152
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Existence of hollow ideal in commutative rings

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#abstract-algebra #ring-theory #commutative-algebra
208
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Problem on Integral domain and equation solving

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#ring-theory #algebraic-number-theory

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