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Mathematics Subject Classification – MSC2020
16XX
Associative rings and algebras
{For the commutative case, see
13XX
}
65341
16Dxx
Modules, bimodules and ideals in associative algebras
16870
16D40
Free, projective, and flat modules and ideals in associative algebras
[See also
19A13
]
2886
Overview
00
General and overarching topics; collections
01
History and biography
03
Mathematical logic and foundations
05
Combinatorics
06
Order, lattices, ordered algebraic structures
08
General algebraic systems
11
Number theory
12
Field theory and polynomials
13
Commutative algebra
14
Algebraic geometry
15
Linear and multilinear algebra; matrix theory
16
Associative rings and algebras
17
Nonassociative rings and algebras
18
Category theory; homological algebra
19
\(K\)theory
20
Group theory and generalizations
22
Topological groups, Lie groups
26
Real functions
28
Measure and integration
30
Functions of a complex variable
31
Potential theory
32
Several complex variables and analytic spaces
33
Special functions
34
Ordinary differential equations
35
Partial differential equations
37
Dynamical systems and ergodic theory
39
Difference and functional equations
40
Sequences, series, summability
41
Approximations and expansions
42
Harmonic analysis on Euclidean spaces
43
Abstract harmonic analysis
44
Integral transforms, operational calculus
45
Integral equations
46
Functional analysis
47
Operator theory
49
Calculus of variations and optimal control; optimization
51
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52
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53
Differential geometry
54
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55
Algebraic topology
57
Manifolds and cell complexes
58
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60
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62
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65
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68
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70
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74
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76
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78
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80
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81
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82
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83
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85
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86
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90
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91
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92
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93
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94
Information and communication theory, circuits
97
Mathematics education
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