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Magma
Computer • algebra
Documentation
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Opposite
LeftOppositeModule(B): LRModGrp -> ModGrp
OppositeAlgebra(B) : AlgBas -> AlgBas
AlgBas_Opposite (Example H94E20)
OppositeAlgebra
OppositeAlgebra(B) : AlgBas -> AlgBas
OPS
Construction of Ordered Partition Stacks (PERMUTATION GROUPS)
Operations on Ordered Partition Stacks (PERMUTATION GROUPS)
Properties of Ordered Partition Stacks (PERMUTATION GROUPS)
ops
Arithmetic for Ideals (ASSOCIATIVE ALGEBRAS)
Arithmetic of Elements (ASSOCIATIVE ALGEBRAS)
Arithmetic of Elements (QUATERNION ALGEBRAS)
Arithmetic of Elements (REDUCTIVE GROUPS)
Completion at Places (ALGEBRAIC FUNCTION FIELDS)
Construction of Elements (ASSOCIATIVE ALGEBRAS)
Construction of Ideals (ASSOCIATIVE ALGEBRAS)
Creation of Elements (QUATERNION ALGEBRAS)
Decomposition of an Algebra (ALGEBRAS)
Decomposition of an Algebra (ASSOCIATIVE ALGEBRAS)
Elementary Operations (FINITE PLANES)
Functions on Elements (ALGEBRAIC FUNCTION FIELDS)
Functions related to Orders and Integrality (ALGEBRAIC FUNCTION FIELDS)
Functions related to Places and Divisors (ALGEBRAIC FUNCTION FIELDS)
Further Ideal Operations (ALGEBRAIC FUNCTION FIELDS)
Ideal Operations (INTEGER RESIDUE CLASS RINGS)
Kashiwara Operators (QUANTUM GROUPS)
Maps of Fans (TORIC VARIETIES)
Operations and Properties for Roots and Coroot Indices (ROOT SYSTEMS)
Operations and Properties for Root and Coroot Indices (COXETER GROUPS)
Operations and Properties for Root and Coroot Indices (GROUPS OF LIE TYPE)
Operations and Properties for Root and Coroot Indices (ROOT DATA)
Operations and Properties of Automorphisms (GROUPS OF LIE TYPE)
Operations at a Point (ALGEBRAIC CURVES)
Operations for Subgroups of Finite Index (FINITELY PRESENTED GROUPS)
Operations not associated with Duval's Algorithm (NEWTON POLYGONS)
Operations on Algebras (ASSOCIATIVE ALGEBRAS)
Operations on Algebras and Subalgebras (ALGEBRAS)
Operations on Algebras and their Elements (ASSOCIATIVE ALGEBRAS)
Operations on Elements (ALGEBRAIC FUNCTION FIELDS)
Operations on Elements (ALGEBRAS)
Operations on Elements (ASSOCIATIVE ALGEBRAS)
Operations on Elements (GROUP ALGEBRAS)
Operations on Elements (GROUP REPRESENTATIONS)
Operations on Elements (LIE ALGEBRAS)
Operations on Elements (QUANTUM GROUPS)
Operations on Elements of an Algebra (ALGEBRAS)
Operations on Group Algebras (GROUP ALGEBRAS)
Operations on Group Algebras and their Subalgebras (GROUP ALGEBRAS)
Operations on Group Representations (GROUP REPRESENTATIONS)
Operations on Homomorphisms of Group Representations (GROUP REPRESENTATIONS)
Operations on Ideals (QUATERNION ALGEBRAS)
Operations on Nearfields (NEARFIELDS)
Operations on Ordered Partition Stacks (PERMUTATION GROUPS)
Operations on Presentations (FINITELY PRESENTED GROUPS)
Operations on Reductive Groups (REDUCTIVE GROUPS)
Operations on Subalgebras (ALGEBRAS)
Operations on Toric Lattices (CONVEX POLYTOPES AND POLYHEDRA)
Operations on Words (FINITELY PRESENTED GROUPS)
Operations on Words (INTRODUCTION TO FP-GROUPS [FINITELY-PRESENTED GROUPS])
Operations with Orders (ASSOCIATIVE ALGEBRAS)
Operations with Orders (QUATERNION ALGEBRAS)
Operations with Pseudo Matrices (MODULES OVER DEDEKIND DOMAINS)
Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
Other Operations (GROUP REPRESENTATIONS)
Other Operations (GROUP REPRESENTATIONS)
Other Operations on Elements (GENERAL p-ADIC EXTENSIONS)
Predicates on Modules (MODULES OVER DEDEKIND DOMAINS)
Representations (ASSOCIATIVE ALGEBRAS)
Set Operations (FINITE SOLUBLE GROUPS)
String Operations on Words (FREE GROUPS)
Using Newton Polygons to Find Roots of Polynomials over Series Rings (NEWTON POLYGONS)
RngLocA_ops (Example H50E3)
OPS-create
Construction of Ordered Partition Stacks (PERMUTATION GROUPS)
OPS-get-info
Properties of Ordered Partition Stacks (PERMUTATION GROUPS)
OPS-ops
Operations on Ordered Partition Stacks (PERMUTATION GROUPS)
ops-root-coroot
Operations and Properties for Roots and Coroot Indices (ROOT SYSTEMS)
Operations and Properties for Root and Coroot Indices (COXETER GROUPS)
Operations and Properties for Root and Coroot Indices (GROUPS OF LIE TYPE)
Operations and Properties for Root and Coroot Indices (ROOT DATA)
Contents
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V2.29, 21 October 2025