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rank nullity theorem, 50, 51
rational roots, 88
reflexive law, 52
relatively prime polynomials, 27, 87
relatively prime, 2
ring homomorphism, 29, 31, 94, 95, 98
root, of a polynomial, 33, 101, 102
root, rational, 88
subgroup, normal, 25, 26, 82, 86
subgroup, 15, 17, 65, 66
subring, 30, 31, 97, 99
subspace, 15
symmetric group, 14, 16, 21, 22, 63, 77
symmetric law, 52
system of congruences, 4, 6, 42, 47
theorem, of Lagrange, 99
transformation, linear, 8, 50
transitive law, 52
unit, of a ring, 29, 30, 93, 94, 96, 97
units, mod 7; 23, 79
units, mod 9; 14, 21, 58, 74
units, mod 13; 26, 84
units, mod 15; 15, 21, 58, 75
units, mod 17; 19, 23, 69, 79
units, mod 18; 21, 74
units, mod 20; 16, 26, 63, 85
units, mod 21; 16, 21, 63, 75
units, mod 24; 16, 62
units, mod 36; 17, 66
units, mod n, 5, 6, 14, 45
units, mod p, 16, 23, 64, 80
units digit, 5, 43
vector space, 15, 17
vertical line test, 8, 49
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