Antonio DI NOLA | UNIVERSAL ALGEBRA

cod. 0522200035

UNIVERSAL ALGEBRA

	0522200035
	DIPARTIMENTO DI MATEMATICA
	EQF7
	MATHEMATICS
	2019/2020

CURRICULUM GENERALE DIDATTICO

	YEAR OF COURSE 2
	YEAR OF DIDACTIC SYSTEM 2018
	SECONDO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	MAT/01	6	48	LESSONS	SUPPLEMENTARY COMPULSORY SUBJECTS

PROFESSORS

ANTONIO DI NOLA T Curriculum

SHEET

	Objectives
	THE AIM OF THE COURSE IS TO PROVIDE THE FUNDAMENTAL CONCEPTS OF UNIVERSAL ALGEBRA. 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
	THE EXAM IS AIMED TO EVALUATE KNOWLEDGE AND UNDERSTANDING OF THE CONCEPTS PRESENTED IN CLASS AND THE ABILITY TO APPLY SUCH KNOWLEDGE TO THE SOLUTION OF SIMPLE PROBLEMS. THE EXAMINATION CONSISTS IN AN ORAL EXAM. THE ORAL EXAM EVALUATES THE ACQUIRED KNOWLEDGE OF UNIVERSAL ALGEBRA. THE FINAL EVALUATION IS EXPRESSED BY A VOTE FROM 0 TO 30.

	Texts
	UNIVERSAL ALGEBRA, G. GRATZER, SPRINGER VERLAG.

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