Mathematics II20805 marksRings and Fields
Define ring and show that set of positive integers with respect to addition and multiplication operation is not a ring.
Define ring and show that set of positive integers with respect to addition and multiplication operation is not a ring. [5]
--- An algebraic structure (R, +, ×) with two binary operations, addition (+) and multiplication (×), is called a ring if it satisfies the following conditions: Condition Statement ------------------------- 1 Closure under addition a + b ∈ R, for all a, b ∈ R 2 Associativity of addition a + (b + ...