ארז שיינר מציג - יחסי שקילות

In this chapter we introduce the concept of equivalence relations, that is, reflexive, symmetric, and transitive relations. We prove that every equivalence relation on a group is equivalent to a division of the group into subgroups. 0:00 Division of a group 5:18 The relation induced by division 14:50 Definition of an equivalence relation 17:40 Definition of equivalence classes 19:56 The collection of equivalence classes is a division of the group 27:02 Example - Dividing integers into even and odd ones 37:42 Construction of rational numbers 48:05 The quotient group 52:02 Example - Equivalence between subgroups For information Added: http://math-wiki.com/index.php?title=...