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RingGive an example of a non trivial commutative ring in which every element is of square 0 |

Re: RingDoes your definition of a ring include a multiplicative identity? If so, can this multiplicative identity ever square to zero? |

Re: RingNo there is no mulplicative identity 1 |

Re: RingThen what are the subrings of the integers mod 4? Do any of them have this property? |

Re: RingDo you mean the subrings of Z_4 |

Re: RingYes, I mean which is often written . What are the subrings of this ring and might any of them have the desired property? |

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