Question

Let $e$ be an idempotent of the monoid $M$, $x$, $y$ be two elements of $eMe$. Then, $(eMe)\,x\,(eMe) = (eMe)\,y\,(eMe)$ if and only if $MxM = MyM$

score 110 · Answer 1 · 2022-07-11 22:15:41

110

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Let $e$ be an idempotent of the monoid $M$, $x$, $y$ be two elements of $eMe$. Then, $(eMe)\,x\,(eMe) = (eMe)\,y\,(eMe)$ if and only if $MxM = MyM$

Published on 11 Jul 2022 - 22:15

score 101 · Answer 2 · 2026-03-26 14:34:31

101

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How to proof there is no idempotent element other than 0 and 1 in a Division Algebra?

Published on 26 Mar 2026 - 14:34

score 413 · Answer 3 · 2022-07-16 09:57:20

413

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score 101 · Answer 4 · 2022-08-08 18:28:23

101

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score 491 · Answer 5 · 2022-09-25 21:55:43

491

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score 33 · Answer 6 · 2022-09-26 23:55:19

33

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score 73 · Answer 7 · 2022-09-30 16:34:31

73

Views

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score 59 · Answer 8 · 2022-11-21 02:25:22

59

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score 66 · Answer 9 · 2022-11-22 09:27:43

66

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score 134 · Answer 10 · 2022-11-24 09:00:36

134

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score 120 · Answer 11 · 2022-12-13 17:06:46

120

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score 38 · Answer 12 · 2023-01-15 13:41:42

38

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List Question

Let $e$ be an idempotent of the monoid $M$, $x$, $y$ be two elements of $eMe$. Then, $(eMe)\,x\,(eMe) = (eMe)\,y\,(eMe)$ if and only if $MxM = MyM$

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How to prove that $AB$ is a projection if $(AB)(BA)=AB$?

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If $\mathcal{C}$ is a cyclic code, with generating idempotent $ε(x)$, then $ε(x)-θ(x)$ is a generating idempotent for $\mathcal{C}_0$

Ring generated by all its idempotents

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A nice characterization of commuting idempotent endomaps?

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