how do we directly prove that if a ring is a field if and only if (0) is a maximal ideal? but without using the theorem that I is maximal if and only if R/I is a field

can anyone help me please ??

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- March 5th 2011, 05:50 AMjin_nzzangring and field
how do we directly prove that if a ring is a field if and only if (0) is a maximal ideal? but without using the theorem that I is maximal if and only if R/I is a field

can anyone help me please ?? - March 5th 2011, 06:00 AMtonio