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15
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Correct definition of bilinear(multilinear) maps over noncommutative rings

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#noncommutative-algebra #multilinear-algebra
71
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Global dimension of the center

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#abstract-algebra #ring-theory #homological-algebra #noncommutative-algebra #dimension-theory-algebra
519
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Inverse of a $2\times2$ matrix with noncommuting entries

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#matrices #noncommutative-algebra #quaternions
1.3k
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Why $J(M_n(R))=M_n(J(R))$ for any ring, where $J$ is the Jacobson radical of $R$?

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#abstract-algebra #noncommutative-algebra
107
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A divisor of a unit is a unit?

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#abstract-algebra #ring-theory #noncommutative-algebra
492
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A non-projective module

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#abstract-algebra #ring-theory #modules #noncommutative-algebra #projective-module
581
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Non-Examples for Krull-Schmidt-Azumaya

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#abstract-algebra #ring-theory #modules #representation-theory #noncommutative-algebra
228
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trace of left/right multiplication

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#abstract-algebra #ring-theory #noncommutative-algebra
456
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Are finitely presentable modules closed under extensions?

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#abstract-algebra #commutative-algebra #modules #noncommutative-algebra
293
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bilinear maps with respect to noncommutative rings

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#abstract-algebra #ring-theory #modules #noncommutative-algebra
1k
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Where does the proof for commutative rings break down in the non-commutative ring when showing only two ideals implies the ring is a field?

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#abstract-algebra #ring-theory #commutative-algebra #noncommutative-algebra
799
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About the quantum plane.

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#abstract-algebra #noncommutative-algebra #quantum-groups
187
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Socle of sum is the sum of socles

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#ring-theory #modules #representation-theory #noncommutative-algebra
129
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Equivalence in definition of quasi-Frobenius ring

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#noncommutative-algebra #abelian-categories #projective-module #injective-module
95
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Is a (non-commutative) quasi-Frobenius regular ring semisimple?

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#abstract-algebra #ring-theory #representation-theory #noncommutative-algebra

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