Tensor Products and Quotient Rings which are Finite Commutative Principal Ideal Rings
Jilyana Cazaran · Okayama University Scientific Achievement Repository (Okayama University) · 1999
We give structure theorems for tensor products R⊕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.