Διακριτός Λογάριθμος

• Κύριοι συγγραφείς: Πουλάκης, Δημήτριος, Poulakis, Dimitrios
• Μορφή: 7
• Γλώσσα: Greek
• Έκδοση: 2016
• Θέματα: ΥΠΟΛΟΓΙΣΤΙΚΗ ΘΕΩΡΙΑ ΑΡΙΘΜΩΝ; ΟΜΑΔΕΣ - ΔΑΚΤΥΛΙΟΙ - ΠΟΛΥΩΝΥΜΑ; ΚΥΚΛΙΚΕΣ ΟΜΑΔΕΣ; ΤΑΞΗ ΣΤΟΙΧΕΙΟΥ; ΑΝΑΓΩΓΑ ΠΟΛΥΩΝΥΜΑ; Computational Number Theory; Group Rings Polynomials; Cyclic Groups; Order Of Element; Irreducible Polynomials

In Chapter 5 we introduces basic algebraic structures which we shall use in the next chapters. First we consider monoids and we study <br/>theirs basic properties and theirs morphisms. Next, we deal with groups and especially the cyclic groups. We introduce the notion of the order of group elements and of the group morphisms. Finally, we study the rings and fields. Especially, we study the arithmetic in the polynomial ring, the Euclidean division, the irreducible polynomials and the roots of polynomials.