List questions from idempotents

Published on 17 Apr 2026 - 5:43

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Find idempotents in $\Bbb Q[x]/\langle x^2 - 1\rangle$

Published on 17 Apr 2026 - 3:54

981

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Is every matrix $A$ such that $A^k=I$ diagonalizable?

Published on 13 Apr 2026 - 0:30

245

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Is $\mathrm{Hom}(eR, M) \cong Me$ as right $eRe$-modules?

Published on 14 Apr 2026 - 14:41

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Show $(\mathcal S\times\mathcal S,)$ with $|\mathcal S|\ge 2$ & $(a,b)(c,d) = (c,b)$ is a semigroup without a one & $(a,b)^2=(a,b)\forall(a,b)$

Published on 25 Mar 2026 - 22:06

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Prove $\mbox{rank} (A − B) = \mbox{rank} (A − AB) + \mbox{rank}(B − AB)$, if $A^2 = A$ and $B^2 = B$

Published on 25 Mar 2026 - 23:11

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homogeneous idempotent element has degree $e$

Published on 25 Mar 2026 - 18:24

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Show If T is idempotent, then there exists a basis {v1,...,vn} for V such that Tvi = vi for i = 1,...,ρ(T), and Tvi = 0 for i =ρ(T)+1,...,n.

Published on 25 Mar 2026 - 23:13

1.6k

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Why an idempotent matrix has only eigenvalue equal to 0 or 1

Published on 25 Mar 2026 - 23:08

56

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homology of rings with enough idempotents

Published on 25 Mar 2026 - 23:10

94

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$\mathrm{Hom}_{eAe}(A,N)\cong \mathrm{Hom}_{eAe}(Ae,N)$

Published on 25 Mar 2026 - 23:16

723

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What is difference between idempotent magma and unital magma?

Published on 09 Apr 2026 - 10:06

58

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an equivalent condition for a projection on a Hilbert space

Published on 25 Mar 2026 - 23:10

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If there exists a positive integer $n$ such that any element $x$ of a ring $R$ satisfies $x^{4^n+2} = x$, then every element $x$ in $R$ is idempotent

Published on 25 Mar 2026 - 23:13

79

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Show that i is idempotent

Published on 25 Mar 2026 - 23:08

List Question

general idempotent matrix possible values of the determinant

Find idempotents in $\Bbb Q[x]/\langle x^2 - 1\rangle$

Is every matrix $A$ such that $A^k=I$ diagonalizable?

Is $\mathrm{Hom}(eR, M) \cong Me$ as right $eRe$-modules?

Show $(\mathcal S\times\mathcal S,)$ with $|\mathcal S|\ge 2$ & $(a,b)(c,d) = (c,b)$ is a semigroup without a one & $(a,b)^2=(a,b)\forall(a,b)$

Prove $\mbox{rank} (A − B) = \mbox{rank} (A − AB) + \mbox{rank}(B − AB)$, if $A^2 = A$ and $B^2 = B$

homogeneous idempotent element has degree $e$

Show If T is idempotent, then there exists a basis {v1,...,vn} for V such that Tvi = vi for i = 1,...,ρ(T), and Tvi = 0 for i =ρ(T)+1,...,n.

Why an idempotent matrix has only eigenvalue equal to 0 or 1

homology of rings with enough idempotents

$\mathrm{Hom}_{eAe}(A,N)\cong \mathrm{Hom}_{eAe}(Ae,N)$

What is difference between idempotent magma and unital magma?

an equivalent condition for a projection on a Hilbert space

If there exists a positive integer $n$ such that any element $x$ of a ring $R$ satisfies $x^{4^n+2} = x$, then every element $x$ in $R$ is idempotent

Show that i is idempotent

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