Van Wyk's 430 Definition Quiz Terms

Section	Terms
0	empty set, subset, Cartesian product, relation, function/map, domain, codomain, range, cardinality, one-to-one, onto, one-to-one correspondence, inverse function, partition, cells, equivalence relation, equivalence class
1	complex numbers, absolute value of a complex number, Euler's formula, nth root of unity
2	binary operation, closure of a subset, commutative binary operation, associative binary operation
3	binary algebraic structure, isomorphism of binary algebraic structures, structural property of a binary algebraic structure, identity element for a binary operation
4	group, general linear group of degree n, left/right cancellation law, left/right identity element, left/right inverse
5	order of a group, subgroup, proper/improper subgroup, trivial/nontrivial subgroup
6	cyclic group/subgroup, generator for a cyclic group/subgroup, Division Algorithm for the integers, greatest common divisor of two positive integers, relatively prime integers
7	generators of a group/subgroup, intersection of an indexed collection of sets, finitely generated group/subgroup, digraph
8	permutation of a set, the symmetric group on n letters, the nth dihedral group, the image of a subset under a function
9	orbit of a permutation, cycle, length of a cycle, disjoint cycles, transposition, even/odd permutation, alternating group of n letters
10	left/right coset of a subgroup, index of a subgroup in a group
11	Cartesian product of finitely many sets, direct product/sum of finitely many groups, least common multiple of finitely many integers, decomposable/indecomposable group
13	homomorphism, image of a set under a function, range of a function, inverse image of a set under a function, kernel of a homomorphism, normal subgroup
14	normal subgroup, factor (quotient) group of G by H, automorphism, inner automorphism of G by g, conjugation of x by g
18	ring, direct product of rings, ring homomorphism, ring isomorphism, commutative ring, unity, ring with unity, unit, division ring, field, subring, subfield
19	divisor of 0, cancellation laws, integral domain, characteristic of a ring
21	This section is not suited to a definition quiz. instead, be prepared to explain what this section is all about.
22	polynomial with coefficients in a ring R, ring of polynomials in two indeterminants x and y with coefficients in R, field of rational functions in n indeterminants over a field F, commensurable distances
23	the division algorithm for F[x], the factor theorem, irreducible polynomial in F[x], reducible polynomial in F[x], Eisenstein Criterion, pth cyclotomic polynomial