Algebraic structures: an exemplified approach (Bachelor thesis)

Κλειτσιώτη, Κωνσταντίνα/ Kleitsioti, Konstantina

This paper aims to study sets of algebraic properties equipped with one or more operations. Usually such kind of mathematical objects are usually called ‘algebraic structures’. In each section of this particular paper there is a presentation of the definitions of algebraic structures while distinctive examples are used for each of them aiming to a better understanding. Specifically, the first chapter includes a historical review of algebra. Emphasis is given to important mathematicians who were involved in this field. The second chapter presents the algebraic structures equipped with one operation as well as corresponding examples. The third chapter describes the algebraic structures which are equipped with two operations and then approached with examples. Finally, in the fourth chapter a new research area of algebra is examined which is called algebra of hyperoperations
Institution and School/Department of submitter: Δημοκρίτειο Πανεπιστήμιο Θράκης. Σχολή Επιστημών Αγωγής. Τμήμα Επιστημών της Εκπαίδευσης στην Προσχολική Ηλικία
Subject classification: Algebra
Keywords: Αλγεβρικές δομές,Σύνολο Zn,Αβελιανή ομάδα,Δακτύλιος,Υπερπράξη,Algebraic structures,Hyperoperation,Abelian group,Commutative ring

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KleitsiotiKonstantina3.pdfΠτυχιακή εργασία1.13 MBAdobe PDFView/Open

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