PMATH 345 – LEC 0.50 – Course ID: 007667 – Polynomials, Rings and Finite Fields

Elementary properties of rings, polynomial rings, Gaussian integers, integral domains and fields of fractions, homomorphisms and ideals, maximal ideals and fields, Euclidean rings, principal ideals, Hilbert Basis theorem, Gauss’ lemma, Eisenstein’s criterion, unique factorization, computational aspects of polynomials, construction of finite fields with applications, primitive roots and polynomials, additional topics. [Offered: F,S] Prereq: MATH 235 or 245; Not open to General Mathematics students

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