Abstract
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.
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© 2002 Springer Science+Business Media New York
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Bini, G., Flamini, F. (2002). Fundamental Notions in Ring Theory. In: Finite Commutative Rings and Their Applications. The Springer International Series in Engineering and Computer Science, vol 680. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0957-8_1
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DOI: https://doi.org/10.1007/978-1-4615-0957-8_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5323-2
Online ISBN: 978-1-4615-0957-8
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