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Tensor Products and Quotient Rings which are Finite Commutative Principal Ideal Rings

Abstract

We give structure theorems for tensor products R&#8853;S, and quotient rings Q/I to be finite commutative principal ideal rings with identity, where Q is a polynomial ring and I is an ideal of Q generated by univariate polynomials. We also show when Q/I is a direct product of finite fields or Galois rings.</p

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