UNIVERSAL ALGEBRA

Antonio DI NOLA UNIVERSAL ALGEBRA

0522200035
DIPARTIMENTO DI MATEMATICA
MATHEMATICS
2014/2015

YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2010
SECONDO SEMESTRE
CFUHOURSACTIVITY
648LESSONS
Objectives
KNOWLEDGE AND UNDERSTANDING:
TO KNOW THE BASIC NOTIONS AND TECHNIQUES UNIVERSAL ALGEBRA.

APPLYING KNOWLEDGE AND UNDERSTANDING:
THE AIM OF THE COURSE IS TO MAKE THE STUDENT ABLE TO APPLY THE NOTIONS GOT FROM THE LECTURES IN ORDER TO SOLVE SOME BASIC PROBLEMS.
COMMUNICATION SKILLS:
THE COURSE IS ADDRESSED TO HELP THE STUDENTS TO DISPLAY IN A RIGOROUS WAY THE ACCOMPLISHED NOTIONS.
MAKING JUDGEMENTS:
STUDENTS ARE GUIDED TO BE AWARE OF THE PIECES OF STUDIED THEORIES.

ABILITY TO LEARN:
THE COURSE WILL AIM TO IMPROVE THE AUTONOMY OF STUDENTS IN STUDYING MATHEMATICAL TOPICS.
Prerequisites
KNOWLEDGE OF ELEMENTARY NOTIONS OF ALGEBRA AND SET THEORY.
Contents
UNIVERSAL ALGEBRAS. SUBALGEBRAS, HOMOMORPHISMS, CONGRUENCES. POLYNOMIALS, ALGEBRAS OF POLYNOMIALS, DIRECT AND INVERSE LIMITS OF SYSTEMS OF ALGEBRAS. FREE ALGEBRAS. WORD PROBLEM. EQUATIONAL CLASSES.
Teaching Methods
LESSONS AT BLACKBOARD.
Verification of learning
ORAL DISCUSSION.
Texts
UNIVERSAL ALGEBRA, G. GRATZER, SPRINGER VERLAG.
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