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Chinese Remainder Theorem determining kernel of projection

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#abstract-algebra #ring-theory
324
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Finding the roots of $x^2+x-6=0$ in $\mathbb{Z}_{14}$

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#abstract-algebra #ring-theory
126
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Find the nilradical of the upper triangular matrices $U_3(\Bbb C)$

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#abstract-algebra #ring-theory #noncommutative-algebra
37
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What is the relationship between conductors in class field theory and conductors in ring theory context?

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#abstract-algebra #number-theory #ring-theory
46
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Reducibility of degree two polynomials in $Z_5[x]$

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#abstract-algebra #ring-theory
39
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Could anyone please give me some hints to solve matrices ring?

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#abstract-algebra #matrices #group-theory #ring-theory
92
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Endmorphism ring of sum of modules is the sum of endomorphism rings

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#abstract-algebra #ring-theory #modules
35
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Showing the existence of a certain kind of extension of a finitely generated algebra

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#ring-theory #integral-domain #finitely-generated #algebras
55
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Prove that $\mathbb{Q}[X]/(X^4 + X^2)$ is the direct product of two rings.

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#abstract-algebra #ring-theory #ideals #maximal-and-prime-ideals #chinese-remainder-theorem
52
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Let $I : = (3,1+\sqrt{5}i)$ and $R : = \mathbb{Z}[\sqrt{5}i]$. Show that $I$ is maximal.

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#ring-theory #ideals #maximal-and-prime-ideals
74
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Identity element in a commutative rng.

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#abstract-algebra #ring-theory #reference-request #commutative-algebra #modules
634
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Questions concerning method of finding irreducible polynomials in F_2[X].

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#abstract-algebra #ring-theory #irreducible-polynomials
187
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Jacobson radical of matrix ring

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#ring-theory
409
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zero Jacobson Radical

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#ring-theory #ideals #maximal-and-prime-ideals #idempotents
45
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looking for application of construction of valuation sub ring of a valuation ring

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#abstract-algebra #ring-theory #commutative-algebra

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