Softex IT Solutions Aug.2013 | Page 26

Page no:26 3 4 functions, subjective control, injunctive (oneto-one) Inverse functions, left reverse, right inverse Bijection and cardinality of finite set Infinite sets and compatibility Properties of countable sets Non-denumerable sets. Algebraic structures: Operations on sets -Unary, binary, ternary definitions of algebraic systems (Restrict to binary operations) Properties – closure, idempotent, associative, communicative, associative, commutative, identity, inverse Semigroup, subsemigroup Monoid, submonoid group, abelian group, permutation group, multiplicatibe abelian group, cyclic group Subgroups: Cosets,