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Computing projective resolutions over quotients of polynomial rings

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#ring-theory #commutative-algebra #modules #homology-cohomology #homological-algebra
95
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Would using the Subring test be good here?

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#abstract-algebra #ring-theory
1.7k
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Inverse of a ring isomorphism is also an isomorphism?

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#abstract-algebra #ring-theory
174
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Find all zeros of $5x^3 + 4x^2 + 11x + 9 \in \mathbb{Z}_{12}[x]$

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#abstract-algebra #polynomials #ring-theory
141
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Describing Cosets in $R/A$

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#abstract-algebra #ring-theory #gaussian-integers
91
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Factorization in the field of fractions of a local PID.

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#abstract-algebra #ring-theory #commutative-algebra
401
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When does $(a,b)=(\gcd(a,b))$ hold?

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#ring-theory #ideals #gcd-and-lcm #principal-ideal-domains
178
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Constructing a polynomial given the Galois Group of it's splitting field

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#polynomials #ring-theory #field-theory #galois-theory #automorphism-group
91
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$1-r$ unit in ring with $r^n = 0$

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#abstract-algebra #ring-theory
125
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Finite Length Modules

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#ring-theory #modules #tensor-products #direct-sum
181
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In the ring $\mathbb Z_5$ (class of modulo 5) compute $[3]^{-4}$.

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#abstract-algebra #ring-theory
215
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Confused about real polynomial ring generated by an element

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#abstract-algebra #ring-theory
156
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Finding Annihilator of an Ideal in $\mathscr{C} \left[ 0, 1 \right]$.

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#abstract-algebra #ring-theory #ideals
63
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Identity with repeatedly taking the commutator of a ring element

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#ring-theory #noncommutative-algebra
342
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Visualizing quotient polynomial rings are fields for maximal ideals which are generated by irreducible monic

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#abstract-algebra #ring-theory #modular-arithmetic #ideals #maximal-and-prime-ideals

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