試題詳解

複選題
Problem 1. (5%) TRUE or FALSE: Decide whether or not the following statements are True(O) or False(X). You do not have to justify the answer. Each correct answer is 1 point, and each incorrect one is -3 points (until you get 0 points in this test). If you choose not to answer, you get 0 points for each.
(A) If i and j belong to a ring, then (i + j)²= i² +2ij +j²
(B) Every cyclic group is an abelian group but not every abelian group is a cyclic group
(C) A normal subgroup is a monoid with the same number of elements of the original group
(D) For any finite-dimensional commutative local algebra L over a field F, L is self-injective
(E) A clique of an undirected graph G is a complete subgraph of G