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Magma
Computer • algebra
Documentation
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ring
Action on a Polynomial Ring (MODULES OVER AN ALGEBRA AND GROUP REPRESENTATIONS)
Application of Operators (DIFFERENTIAL RINGS)
Arithmetic (DIFFERENTIAL RINGS)
Arithmetic (DIFFERENTIAL RINGS)
Base Ring and Base Change (LATTICES)
Category and Parent (DIFFERENTIAL RINGS)
Category and Parent (DIFFERENTIAL RINGS)
Changing Base Rings (LIE ALGEBRAS)
Changing Coefficient Ring (FINITELY PRESENTED ALGEBRAS)
Changing Coefficient Ring (GRÖBNER BASES)
Changing Coefficient Ring (LOCAL POLYNOMIAL RINGS)
Changing Coefficient Ring (MULTIVARIATE POLYNOMIAL RINGS)
Changing Ring (MATRICES)
Changing Ring (MODULES OVER MULTIVARIATE RINGS)
Changing Ring (SPARSE MATRICES)
Changing Rings (ALGEBRAS)
Changing Rings (MATRIX ALGEBRAS)
Changing Rings (MATRIX GROUPS OVER GENERAL RINGS)
Changing Rings (UNIVARIATE POLYNOMIAL RINGS)
Changing the Coefficient Ring (FREE MODULES)
Character Ring Operations (CHARACTERS OF FINITE GROUPS)
Coefficients and Terms (DIFFERENTIAL RINGS)
Coefficients and Terms (DIFFERENTIAL RINGS)
Conjugates, Norm and Trace (DIFFERENTIAL RINGS)
Cox Rings in Their Own Right (TORIC VARIETIES)
Creation of Differential Operators (DIFFERENTIAL RINGS)
Creation of Differential Ring Elements (DIFFERENTIAL RINGS)
Database of Character Tables (CHARACTERS OF FINITE GROUPS)
Derivatives and Differentials (DIFFERENTIAL RINGS)
Factorisation of Operators over Differential Laurent Series Rings (DIFFERENTIAL RINGS)
GALOIS RINGS
Ideals and Quotient Rings (DIFFERENTIAL RINGS)
Invariant Rings of Finite Groups (INVARIANT THEORY)
Invariant Rings of Linear Algebraic Groups (INVARIANT THEORY)
INVARIANT THEORY
Operations with the Ring of Twisted Polynomials (CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS)
Order and Degree (DIFFERENTIAL RINGS)
Predicates and Booleans (DIFFERENTIAL RINGS)
Predicates and Booleans (DIFFERENTIAL RINGS)
Quotient Rings (ALGEBRAIC FUNCTION FIELDS)
Quotient Rings (NUMBER FIELDS AND ORDERS)
Recognition Functions (QUATERNION ALGEBRAS)
Related Differential Operators (DIFFERENTIAL RINGS)
Ring and Field Extensions (DIFFERENTIAL RINGS)
Structure Creation (CHARACTERS OF FINITE GROUPS)
Structure Creation (CHARACTERS OF FINITE GROUPS)
The Cox Ring of a Toric Variety (TORIC VARIETIES)
The Endomorphism Ring (FREE MODULES)
Writing a K[G]-Module over a Smaller Field (MODULES OVER AN ALGEBRA AND GROUP REPRESENTATIONS)
ring-operations
Operations with the Ring of Twisted Polynomials (CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS)
ring-ops
RngLaz_ring-ops (Example H51E2)
ring_create
RngLaz_ring_create (Example H51E1)
ring_ops
Functions on Lazy Series Rings (LAZY POWER SERIES RINGS)
RingClassGroup
PicardGroup(O) : RngOrd -> GrpAb, Map
RingClassGroup(O) : RngOrd -> GrpAb, Map
RingGeneratedBy
RingGeneratedBy(H) : HomModAbVar -> HomModAbVar
RingMap
RingMap(P) : SetPt -> Map
RingOfFractions
RingOfFractions(R) : RngDiff -> RngDiff, Map
RingOfFractions(Q) : RngMPolRes -> RngFunFrac
RingOfIntegers
Integers() : -> RngInt
RingOfIntegers() : -> RngInt
IntegerRing() : -> RngInt
IntegerRing(F) : FldFunRat -> RngPol
IntegerRing(F) : FldPad -> RngPad
IntegerRing(R) : RngSer -> RngSerPow
IntegerRing(E) : RngSerExt -> RngSerExt
Integers(O) : RngOrd -> RngOrd
MaximalOrder(F) : FldNum -> RngOrd
MaximalOrder(F) : FldQuad -> RngQuad
MaximalOrder(Q) : FldRat -> RngInt
MaximalOrder(O) : RngOrd -> RngOrd
ResidueClassRing(m) : RngIntElt -> RngIntRes, Map
RingOfIntegers(L) : FldXPad -> RngXPad
RingOfIntegers(R) : RngPad -> RngPad
rings
Category and Parent (DIFFERENTIAL RINGS)
Category and Parent (DIFFERENTIAL RINGS)
Changing Related Structures (DIFFERENTIAL RINGS)
Changing Related Structures (DIFFERENTIAL RINGS)
Construction of Orders of Algebraic Function Fields (ALGEBRAIC FUNCTION FIELDS)
Cox Rings (TORIC VARIETIES)
Creation (DIFFERENTIAL RINGS)
Creation (DIFFERENTIAL RINGS)
Creation of Local Polynomial Rings and Accessing their Monomial Orders (LOCAL POLYNOMIAL RINGS)
Creation of Polynomial Rings and Accessing their Monomial Orders (GRÖBNER BASES)
Differential Operator Rings (DIFFERENTIAL RINGS)
Differential Rings and Fields (DIFFERENTIAL RINGS)
Element Operations on Differential Operators (DIFFERENTIAL RINGS)
Exact Polynomial Rings (p-ADIC RINGS AND THEIR EXTENSIONS)
LOCAL POLYNOMIAL RINGS
Numerical Invariants (DIFFERENTIAL RINGS)
p-adic Rings (p-ADIC RINGS AND THEIR EXTENSIONS)
Polynomial Rings and Polynomials (MULTIVARIATE POLYNOMIAL RINGS)
Precision (DIFFERENTIAL RINGS)
Precision (DIFFERENTIAL RINGS)
Predicates and Booleans (DIFFERENTIAL RINGS)
Predicates and Booleans (DIFFERENTIAL RINGS)
Related Maps (DIFFERENTIAL RINGS)
Related Structures (DIFFERENTIAL RINGS)
Related Structures (DIFFERENTIAL RINGS)
Residue Class Rings (INTEGER RESIDUE CLASS RINGS)
Structure Operations on Differential Operator Rings (DIFFERENTIAL RINGS)
Structure Operations on Differential Rings (DIFFERENTIAL RINGS)
The Ring of Witt Vectors of Finite Length (CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS)
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V2.28, 13 July 2023