UNIVERSAL ALGEBRA

Antonio DI NOLA UNIVERSAL ALGEBRA

0522200035
DIPARTIMENTO DI MATEMATICA
EQF7
MATHEMATICS
2017/2018

YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2016
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.
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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