17-XX 
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Nonassociative rings and algebras
|
|
17-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
|
17-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
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|
17-02
|
Research exposition (monographs, survey articles)
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|
17-03
|
Historical {!must also be assigned at least one classification number from section 01}
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|
17-04
|
Explicit machine computation and programs (not the theory of computation or programming)
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17-06
|
Proceedings, conferences, collections, etc.
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17-08
|
Computational methods
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17Axx
|
General nonassociative rings
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|
17A01
|
General theory
|
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17A05
|
Power-associative rings
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|
17A15
|
Noncommutative Jordan algebras
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|
17A20
|
Flexible algebras
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|
17A30
|
Algebras satisfying other identities
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|
17A32
|
Leibniz algebras
|
|
17A35
|
Division algebras
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|
17A36
|
Automorphisms, derivations, other operators
|
|
17A40
|
Ternary compositions
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17A42
|
Other $n$-ary compositions $(n \ge 3)$
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17A45
|
Quadratic algebras (but not quadratic Jordan algebras)
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17A50
|
Free algebras
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|
17A60
|
Structure theory
|
|
17A65
|
Radical theory
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|
17A70
|
Superalgebras
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|
17A75
|
Composition algebras
|
|
17A80
|
Valued algebras
|
|
17A99
|
None of the above, but in this section
|
|
17Bxx
|
Lie algebras and Lie superalgebras
{For Lie groups, see
22Exx }
|
|
17B01
|
Identities, free Lie (super)algebras
|
|
17B05
|
Structure theory
|
|
17B10
|
Representations, algebraic theory (weights)
|
|
17B15
|
Representations, analytic theory
|
|
17B20
|
Simple, semisimple, reductive (super)algebras (roots)
|
|
17B25
|
Exceptional (super)algebras
|
|
17B30
|
Solvable, nilpotent (super)algebras
|
|
17B35
|
Universal enveloping algebras
[See also
16S30 ]
|
|
17B37
|
Quantum groups (quantized enveloping algebras) and related deformations
[See also
16W35 ,
20G42 ,
81R50 ,
82B23 ]
|
|
17B40
|
Automorphisms, derivations, other operators
|
|
17B45
|
Lie algebras of linear algebraic groups
[See also
14Lxx
and
20Gxx ]
|
|
17B50
|
Modular Lie (super)algebras
|
|
17B55
|
Homological methods in Lie (super)algebras
|
|
17B56
|
Cohomology of Lie (super)algebras
|
|
17B60
|
Lie (super)algebras associated with other structures (associative, Jordan, etc.)
[See also
16W10 ,
17C40 ,
17C50 ]
|
|
17B62
|
Lie bialgebras
|
|
17B63
|
Poisson algebras
|
|
17B65
|
Infinite-dimensional Lie (super)algebras
[See also
22E65 ]
|
|
17B66
|
Lie algebras of vector fields and related algebras
|
|
17B67
|
Kac-Moody algebras (structure and representation theory)
|
|
17B68
|
Virasoro and related algebras
|
|
17B69
|
Vertex operators, vertex operator algebras and related structures
|
|
17B70
|
Graded Lie (super)algebras
|
|
17B75
|
Color Lie (super)algebras
|
|
17B80
|
Applications to integrable systems
|
|
17B81
|
Applications to physics
|
|
17B99
|
None of the above, but in this section
|
|
17Cxx
|
Jordan algebras (algebras, triples and pairs)
|
|
17C05
|
Identities and free Jordan structures
|
|
17C10
|
Structure theory
|
|
17C17
|
Radicals
|
|
17C20
|
Simple, semisimple algebras
|
|
17C27
|
Idempotents, Peirce decompositions
|
|
17C30
|
Associated groups, automorphisms
|
|
17C36
|
Associated manifolds
|
|
17C37
|
Associated geometries
|
|
17C40
|
Exceptional Jordan structures
|
|
17C50
|
Jordan structures associated with other structures
[See also
16W10 ]
|
|
17C55
|
Finite-dimensional structures
|
|
17C60
|
Division algebras
|
|
17C65
|
Jordan structures on Banach spaces and algebras
[See also
46H70 ,
46L70 ]
|
|
17C70
|
Super structures
|
|
17C90
|
Applications to physics
|
|
17C99
|
None of the above, but in this section
|
|
17Dxx
|
Other nonassociative rings and algebras
|
|
17D05
|
Alternative rings
|
|
17D10
|
Malcev (Maltsev) rings and algebras
|
|
17D15
|
Right alternative rings
|
|
17D20
|
$(\Gamma,\delta)$-rings, including $(1,-1)$-rings
|
|
17D25
|
Lie-admissible algebras
|
|
17D92
|
Genetic algebras
|
|
17D99
|
None of the above, but in this section
|