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Is it $G \lesssim RG$?

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#abstract-algebra #ring-theory #group-rings
378
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Application of Chinese Remainder Theorem to Ring Isomorphism

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#abstract-algebra #ring-theory #chinese-remainder-theorem #gaussian-integers #ring-isomorphism
116
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modules over infinite fields (and rings?): does every nonzero element have infinite order?

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#abstract-algebra #ring-theory #modules
172
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Principal Ideals and The Correspondence Theorem for Rings

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#abstract-algebra #ring-theory #ideals
99
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Ideal norm always super-multiplicative?

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#ring-theory #algebraic-number-theory #ideals #multiplicative-function
104
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Prove or disprove: if $S$ is a subring of $R$ then $Z(S)$ is a subring of $Z(R)$

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#abstract-algebra #ring-theory
217
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find the number of ideals of R.

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#abstract-algebra #ring-theory #ideals
26
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Proving that 1 is an eigenvalue of the linear transformation $\phi_\alpha:K[G] \rightarrow K[G]$ where $K$ is a field and $G$ is a group

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#abstract-algebra #ring-theory
297
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Examples of non-commutative reduced rings

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#abstract-algebra #ring-theory
385
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Proving a property of radical ideal

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#abstract-algebra #ring-theory
145
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Proving P is a prime ideal.

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#ring-theory
121
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$4+\sqrt{10}$ is not prime in $R$.

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#abstract-algebra #ring-theory
88
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Proving $\left<p\right>$ is not prime

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#abstract-algebra #ring-theory
28
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Is $(p)$ the same as $p\mathbb{Z}/n\mathbb{Z}$ as an ideal of $\mathbb{Z}/n\mathbb{Z}$?

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#ring-theory #notation #ideals
431
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How to find all units in $ \mathbb{Z} [ \sqrt{-2}] $

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#abstract-algebra #ring-theory

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