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| Baker A. — Algebra and Number Theory |
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| Предметный указатель |
1—1 53
1—1 correspondence 53
action 30
Action, group 38
Alternating group 32
Arithmetic function 47
Back-substitution 5
Bijection 53
Binary operation 29
Burnside Formula 40
Cantor's diagonalization argument 59
Cardinality 54
Cardinality,  55
Characteristic function 58
Common divisor 3
Common factor 3
Commutative ring 3 9
Composite 11
Congruence class 9
Congruent 8
Continued fraction, einfinite 17
Continued fraction, expansion 16
Continued fraction, finite 16 17
Continued fraction, generalized finite 18
Convergent 17 18
Convolution 48
Coprime 3
Coset, left 37
Countable set 55
Countably infinite set 55
Cycle, decomposition, disjoint 32
Cycle, notation 32
Cycle, type 32
Degree 13
Dihedral group 35
Diophantine problem 22
Disjoint cycle decomposition 32
divides 3
Divisor 3
Divisor, common 3
Divisor, greatest common 3
Element, greatest 1
Element, least 1
Element, maximal 1
Element, minimal 1
Equivalence relation 8
Euclid's lemma 11
Euclidean algorithm 4
Euler  -function 36
Even permutation 31
Factor, common 3
Factor, highest common 3
Factorization, prime 12
Factorization, prime power 12
Fermat's little theorem 14
Fibonacci sequence 18
Finite continued fraction 17
Finite set 53
Fixed point set 40
Fixed set 40
Function, arithmetic 47
Function, characteristic 58
Function, indicator 58
Fundamental solution 24
Fundamental Theorem of Arithmetic 11
Generator 36
Greatest common divisor 3
Greatest element 1
Group 29
Group, action 38
Group, action, transitive 40
Group, alternating 32
Group, dihedral 35
Group, permutation 29 30
Group, symmetric 30
Highest common factor 3
| Idiot's binomial theorem 14
INDEX 37
Indicator function 58
Infinite continued fraction 17
Infinite set 1 53
Injection 53
INTEGER 3
Inverse 9
Irrational 13
Lagrange’s Theorem 37
Least element 1
Left coset 37
Long division property 3
Maximal element 1
Maximal principle (MP) 2
Minimal element 1
Moebius function 47
Multiplicative 47
Multiplicative, strictly 47
Natural numbers 1
Odd permutation 31
One—one 53
Onto 53
Orbit 39
Orbit-stabilizer equation 40
Order 14 29
Pell's equation 24
Period 22
Permutation, even 31
Permutation, group 29 30
Permutation, matrix 33
Permutation, odd 31
Permutation, sign of a 31
Pigeonhole Principle 53
Power factorization 12
Power set 58
Prime 11
Prime, factorization 12
Primitive root 15
Principle of mathematical induction (PMI) 1
Proper subgroup 35
Proper subset 54
Real algebraic numbers 60
Recurrence relation 18
Represents 16 18
Residue class 9
Root 13
Root, primitive 15
Set, countable 55
Set, countably infinite 55
Set, finite 53
Set, fixed 40
Set, fixed point 40
Set, infinite 1 53
Set, of cardinality 55
Set, power 58
Set, standard 30
Set, uncountable 55
Sign of a permutation 31
Solution, fundamental 24
Stabilizer 39
Standard set 30
Strictly multiplicative 47
Subgroup 35
Subgroup, generated by g 36
Subgroup, proper 35
Subset, proper 54
Surjection 53
Symmetric group 30
Symmetry 33
Tabular method 6
Transitive 1
Transitive, group action 40
Transposition 33
Uncountable set 55
Well ordering principle (WOP) 1
Wilson's theorem 15
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