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Part of 1965 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1965_2

Source:

9/25/2008
Let R R be a finite commutative ring. Prove that R R has a multiplicative identity element (1) (1) if and only if the annihilator of R R is 0 0 (that is, aR\equal{}0, \;a\in R imply a\equal{}0).
vectoralgebrapolynomialinductionRing Theorysuperior algebrasuperior algebra unsolved