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15
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Polynomial ring modulo ideal generated by linear factor

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#abstract-algebra #polynomials #ring-theory #ideals #ring-isomorphism
53
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Let $p$ be a positive prime number. Suppose that $R$ is a ring with identity $1_R$ such that $pr=0_R$ for all $r\in R$.

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#abstract-algebra #ring-theory
195
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Prime ideals in $\mathbb{C}[x,y]$

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#abstract-algebra #ring-theory #ideals
133
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How to embed the localization of a subring

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#algebraic-geometry #ring-theory #commutative-algebra #localization
67
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Characterization of local rings

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#ring-theory
286
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How to find a compositum of two fields

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#abstract-algebra #ring-theory #commutative-algebra #field-theory
48
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A two-generated ideal of $\mathbb{C}[x,y]$

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#polynomials #ring-theory #commutative-algebra
182
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Proving the commutativity of a ring with identity

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#abstract-algebra #ring-theory
352
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Quotient ring $\mathbb{Z}[x]/(2x)$

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#abstract-algebra #ring-theory
60
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An "identity element" in a commutative rng in a module action.

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#ring-theory #modules #finitely-generated
32
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Are the elements of $R=\mathbb{Q}[x]/\left<(x-1)^3\right>$ just constants?

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#abstract-algebra #ring-theory
35
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Finite unit regular rings that have proper ideals

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#ring-theory #modules
359
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Questions about the proof used in demonstrating the existence of a field extension

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#abstract-algebra #polynomials #ring-theory #field-theory #proof-explanation
307
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Are there discontinuous Ring endomorphisms on real numbers?

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#abstract-algebra #ring-theory #continuity
77
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Example of writing a $\mathbf{Q}$-algebra as a quotient of $\mathbf{Q}[U,V]$.

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

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