Fundamental Notions in Ring Theory
We want to start by recalling some elementary topics in ring theory; we basically focus on local rings, since Galois rings, the “main subject” of our work, are a particular class of such rings. We will review some definitions and provide clarifying examples. This is useful for the sake of establishing a common language, fixing, once and for all, notation such as would appear in many undergraduate Algebra texts whose contents we assume the reader is familiar with.
KeywordsPrime Ideal Local Ring Maximal Ideal Commutative Ring Polynomial Ring
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