Proprietatile legilor de compozitie -asociativitatea
-comutativitatea
-elementul neutru
-elementele simetrizabile -Definitia asociativitatii
-Exemple de legi asociative/neasociative cunoscute
-Mostenirea de catre o parte stabila a prop. de asociativitate
Probleme
- -Definitia comutativitatii
-Exemple de legi comutative/necomutative GRUPA COMUTATIVITATE -definitia elementului neutru
-exemple de elemente neutre la legile cunoscute
-unicitatea elementului neutru
-definitia monoidului
-exercitii de determinare a elementului neutru GRUPA ELEMENT NEUTRU -definitia elementelor simetrizabile
-unicitatea simetricului
-exemple de elemente simetrice
-teorema de caracterizare
-probleme GRUPA ELEMENTE SIMETRIZABILE http://www.profesorultau.ro/grupuri-lege-de-compozitie-interna-partea-2-exercitii-cu-parte-stabila-asociativitate-comutativitate-element-neutru-element-simetrizabil.aspx
LINKURI UTILE CERINTE:
-scrierea legii sub alta forma
-demonstrarea proprietatilor
-aplicarea proprietatilor in calculul unor sume sau rezolvarea ecuatiilor STRUCTURA ORIENTATIVA A PROBLEMELOR CU SUBIECT LEGI DE COMPOZITIE GRUPA ASOCIATIVITATE -mostenirea de catre o parte stabila a prop. de comutativitate
-probleme http://educationalwikis.wikispaces.com/
http://www.didactic.ro/resurse-educationale/invatamant-liceal/matematica/toate-clasele?page=4 http://ro.wikipedia.org/wiki/Lege_de_compozi%C8%9Bie
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