Commonplace ideals

Either has a ring of neutral 0, the ideal commonplace of has are:

  • \ {0 \}
  • has

They are also the commonplace Sous-groupes of has seen like additive group.

A commutative Anneau whose only ideals are commonplace is a body.

A ring whose only ideals on the left (respectively on the right) are commonplace is a body.

If K is a body and N a Entier naturalness not no one, the only ideals bilatères of the algebra M_n (K) of the square matrices of dimension N with coefficients in K are commonplace.

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