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Minimal prime ideals contained in the Jacobson radical

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra
69
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$K[X]$-Module $K[X]/(p)$ explanation for a beginner

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#linear-algebra #polynomials #ring-theory #modules
73
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Finitely generated field is a finite field

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#ring-theory #commutative-algebra #field-theory #finite-fields
173
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Irreducibility of a polynomial linked to his reduction mod $m$

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#ring-theory #commutative-algebra #irreducible-polynomials
347
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Construct nonzero Derivation of Commutative Ring

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#abstract-algebra #derivatives #ring-theory
1.4k
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How many rings are there of order 4 up to isomorphism

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#abstract-algebra #ring-theory #ring-isomorphism
64
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Is this ring quadratically closed?

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#ring-theory
60
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Find an element of order $5$ of the field $\mathbb{Z}_3[x]/\langle x^4 + x + 2 \rangle$.

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#number-theory #ring-theory
120
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let R be a subring of $ Q $ contaning $1$. then For every maximal ideal m in R ,the residue field $ R/m$ is finite . TRue/false

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#abstract-algebra #ring-theory
188
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I can't really understand the first half of this author's argument

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#ring-theory #modules #proof-explanation
88
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The number of non-zero direct summands in a ring direct decomposition

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#abstract-algebra #ring-theory #modules #representation-theory
1.5k
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Zeros of Polynomials in Arbitrary Rings

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#abstract-algebra #polynomials #ring-theory #soft-question
401
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The polynomial ring over a (non integral) ring is not a PID

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#abstract-algebra #ring-theory
65
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Equality of ideals

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#ring-theory #ideals
99
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Automorphism of division ring with characteristic p - prime number

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#abstract-algebra #ring-theory

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