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Jacobson radical = nilradical iff every open set of $\text{Spec}A$ contains a closed point.

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#algebraic-geometry #ring-theory #commutative-algebra #nilpotence
98
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A question about Maschke theorem

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#abstract-algebra #ring-theory #nilpotence
130
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A question on the group algebra

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#abstract-algebra #ring-theory #ideals #nilpotence
376
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The radical of the algebra $ A = T_n(F)$ is $N$, the set of all strictly upper triangular matrices.

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#abstract-algebra #ring-theory #ideals #maximal-and-prime-ideals #nilpotence
67
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Is $A-B$ never normal?

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#linear-algebra #matrices #symmetric-matrices #nilpotence
1k
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Nilradical of a noncommutative Ring

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#abstract-algebra #ring-theory #ideals #nilpotence
379
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Nil(Nil(R) = Nil(R) meaning

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#notation #nilpotence
1.4k
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Ideal Generated by Nilpotent Elements is a Nilpotent Ideal

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#abstract-algebra #ring-theory #ideals #nilpotence #finitely-generated
484
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Inequality for nilpotent matrices: $\dim\ker A^2 > \dim\ker A$

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#linear-algebra #matrices #inequality #linear-transformations #nilpotence
75
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Nilpotent $4 × 4$ matrix

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#linear-algebra #matrices #nilpotence
734
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Determinant modulo $m$ for a matrix

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#modular-arithmetic #determinant #nilpotence
257
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Matrices similar to nilpotent

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#linear-algebra #matrices #nilpotence #similar-matrices
275
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Nilpotency index of the nilpotent elements of non commutative rings.

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#noncommutative-algebra #nilpotence
265
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Eigen values of a nilpotent matrix over a finite field?

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#eigenvalues-eigenvectors #finite-fields #nilpotence
1.1k
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Similarity of nilpotent matrices under specific assumptions

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#linear-algebra #matrices #eigenvalues-eigenvectors #minimal-polynomials #nilpotence

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