A freely licensed undergraduate textbook covering rings, modules, polynomial rings, finite fields, quadratic reciprocity, Gröbner bases, and Smith normal form, with over 200 exercises.
On an identity of Sylvester
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abstract
We discuss an algebraic identity, due to Sylvester, as well as related algebraic identities and applications.
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math.RA 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
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An introduction to the algebra of rings and fields
A freely licensed undergraduate textbook covering rings, modules, polynomial rings, finite fields, quadratic reciprocity, Gröbner bases, and Smith normal form, with over 200 exercises.