Ivan Shishkin, Rye (1878)

Problems/General algebraUnreviewed

Idempotent or nilpotent forces boolean

by visitor·
40
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
·
English
EnglishFrançais
Unreviewed. This problem has not been reviewed by trusted users yet.

Let AA be a unital ring in which every x∈Ax \in A satisfies x2=xx^2=x or is nilpotent. Show that every x∈Ax \in A satisfies x2=xx^2=x.

I solved itMark it doneAdd to my listKeep it in your list
I like this problem0 likes
Show related problems0

No related problems yet.

Solutions

0
Report

For an unclear, ambiguous, or possibly incorrect statement, please use the Discussion tab on the right. Report content that needs moderator intervention, such as dangerous, clearly non-mathematical, or plagiarized content.