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Atiyah-Macdonald, Problem 6 of Chapter 1

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#abstract-algebra #ring-theory #commutative-algebra
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Characterization of Zero in a module

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#abstract-algebra #ring-theory #modules
110
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$2x+1 \in \mathbb{Z}_4[x]$ has no roots in any ring extension

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#abstract-algebra #polynomials #ring-theory
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A question about the number of generators of an ideal.

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#ring-theory
42
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What is wrong in this proof where I show that $\text{End}_k(k^2)$ is a division ring?

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#linear-algebra #ring-theory
43
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Linear equation over $\mathbb{Z}/n\mathbb{Z}$

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#abstract-algebra #number-theory #ring-theory #congruences
2.4k
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A Commutative Ring Having a Unique Prime Ideal (Dummit and Foote, Prob 7.4.40(i))

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#abstract-algebra #ring-theory
298
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Center of a ring matrix

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#ring-theory
154
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Reference about Tensor Product

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#ring-theory #modules #tensor-products
103
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If a ring has its field of fraction as algebraic number field $K$, would this ring be $O_K$?

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#ring-theory #field-theory #algebraic-number-theory
793
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Ring Theory question in a GRE practice exam

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#ring-theory
219
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Cardinality of ring having more than one left inverse for some element!

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#abstract-algebra #ring-theory
54
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Prove a particular set is a ring with unity

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#abstract-algebra #ring-theory
769
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Zero divisors of $C[0,1]$

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#abstract-algebra #ring-theory
4.1k
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Units in $\mathbb Z[\sqrt{2}]$

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#abstract-algebra #ring-theory

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