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15
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Let $D$ a division ring. Why $D^n$ needs to be a right $D$-vector space?

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#linear-algebra #noncommutative-algebra #division-ring
55
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Lifting elements modulo radical in a an integral algebra over local, henselian ring.

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#number-theory #ring-theory #noncommutative-algebra
100
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Classification of 4 dimensional real associative unital algebra

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#ring-theory #commutative-algebra #modules #representation-theory #noncommutative-algebra
158
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Is it true that any algebra is Morita equivalent to oposite?

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#abstract-algebra #noncommutative-algebra #morita-equivalence
49
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Classification of homomorphisms of matrix algebras

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#abstract-algebra #noncommutative-algebra
42
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Uniqueness of right-quasi-regular inverse

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#abstract-algebra #noncommutative-algebra
48
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Question Regarding the Eigenvalues of Matrix Commutators

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#matrices #eigenvalues-eigenvectors #noncommutative-algebra #noncommutative-geometry
120
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How to prove that $IJ\subseteq P\implies I\subseteq P \vee J \subseteq P$

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#ring-theory #maximal-and-prime-ideals #noncommutative-algebra
44
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Prime ideals equivalence

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#abstract-algebra #ring-theory #ideals #maximal-and-prime-ideals #noncommutative-algebra
74
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Irreducible module over upper triangular matrices

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#abstract-algebra #ring-theory #modules #noncommutative-algebra
29
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Module written as direct sum

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#abstract-algebra #ring-theory #modules #noncommutative-algebra #direct-sum
23
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Operator norm of family matrix products

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#matrices #normed-spaces #operator-algebras #noncommutative-algebra
102
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Looking for advice on non_commutative ring theory: what is the successor subject, and textbook-recommendation?

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#ring-theory #reference-request #book-recommendation #noncommutative-algebra
72
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Betti numbers of associated graded ring

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#commutative-algebra #homological-algebra #noncommutative-algebra #local-rings
139
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If a right ideal ρ of ring R is minimal then ρ= eR for some idempotent e in R

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

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