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Magma
Computer • algebra
Documentation
Contents
Index (e)
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element
Access Functions for Elements (POLYCYCLIC GROUPS)
Accessing and Modifying a Matrix (MATRIX ALGEBRAS)
Arithmetic (NUMBER FIELDS AND ORDERS)
Arithmetic (NUMBER FIELDS)
Arithmetic with Elements (MODULES OVER DEDEKIND DOMAINS)
Automorphisms (AUTOMORPHISM GROUPS)
Basic Element Operations (POWER, LAURENT AND PUISEUX SERIES)
Basic Operations (GROUPS OF LIE TYPE)
Boolean Operators (STATEMENTS AND EXPRESSIONS)
Codeword Operations (LINEAR CODES OVER FINITE RINGS)
Constructing Elements (GROUPS OF LIE TYPE)
Construction of a Group Algebra Element (GROUP ALGEBRAS)
Construction of a Matrix (FREE MODULES)
Construction of a Matrix (MATRIX ALGEBRAS)
Construction of a Matrix Group Element (MATRIX GROUPS OVER GENERAL RINGS)
Construction of a Permutation (PERMUTATION GROUPS)
Construction of a Vector (VECTOR SPACES)
Construction of a Word (GROUPS DEFINED BY REWRITE SYSTEMS)
Construction of a Word (MONOIDS GIVEN BY REWRITE SYSTEMS)
Construction of an Element (BLACK-BOX GROUPS)
Construction of an Element (GROUPS OF STRAIGHT-LINE PROGRAMS)
Construction of an Element (GROUPS)
Construction of Direct Sums and Tensor Products of Elements (MATRIX ALGEBRAS)
Construction of Elements (ABELIAN GROUPS)
Construction of Elements (LIE ALGEBRAS)
Construction of Elements of Structure Constant Algebras (LIE ALGEBRAS)
Construction of Matrix Elements (LIE ALGEBRAS)
Coset Spaces: Selection of Cosets (FINITELY PRESENTED GROUPS)
Creating Elements of a Braid Group (BRAID GROUPS)
Creation of Coproduct Elements (COPRODUCTS)
Creation of Elements (ALGEBRAIC FUNCTION FIELDS)
Creation of Elements (ALGEBRAIC FUNCTION FIELDS)
Creation of Elements (CYCLOTOMIC FIELDS)
Creation of Elements (INTRODUCTION TO RINGS [BASIC RINGS])
Creation of Elements (NUMBER FIELDS AND ORDERS)
Creation of Elements (NUMBER FIELDS)
Creation of Elements (POWER, LAURENT AND PUISEUX SERIES)
Creation of Elements (RATIONAL FIELD)
Creation of Elements (RATIONAL FUNCTION FIELDS)
Creation of Elements (REAL AND COMPLEX FIELDS)
Creation of Elements (RING OF INTEGERS)
Creation of Elements (UNIVARIATE POLYNOMIAL RINGS)
Creation of Elements (VALUATION RINGS)
Creation of Module Elements (MODULES OVER MULTIVARIATE RINGS)
Creation of Orders from Elements (QUATERNION ALGEBRAS)
Creation of Polynomials (FINITELY PRESENTED ALGEBRAS)
Creation of Polynomials (MULTIVARIATE POLYNOMIAL RINGS)
Discrete Logarithm (ABELIAN GROUPS)
Element Constructions and Conversions (p-ADIC RINGS AND THEIR EXTENSIONS)
Element Constructors (FINITELY PRESENTED SEMIGROUPS)
Element Creation (CHARACTERS OF FINITE GROUPS)
Element Creation (CHARACTERS OF FINITE GROUPS)
Element Creation (INTEGER RESIDUE CLASS RINGS)
Element Operations (ALGEBRAIC FUNCTION FIELDS)
Element Operations (ALGEBRAIC FUNCTION FIELDS)
Element Operations (ALGEBRAICALLY CLOSED FIELDS)
Element Operations (CHARACTERS OF FINITE GROUPS)
Element Operations (CYCLOTOMIC FIELDS)
Element Operations (FINITE FIELDS)
Element Operations (FINITE SOLUBLE GROUPS)
Element Operations (FINITELY PRESENTED ALGEBRAS)
Element Operations (FREE MODULES)
Element Operations (GALOIS RINGS)
Element Operations (MODULES OVER MULTIVARIATE RINGS)
Element Operations (MULTIVARIATE POLYNOMIAL RINGS)
Element Operations (NUMBER FIELDS AND ORDERS)
Element Operations (NUMBER FIELDS)
Element Operations (RATIONAL FIELD)
Element Operations (RATIONAL FUNCTION FIELDS)
Element Operations (REAL AND COMPLEX FIELDS)
Element Operations (RING OF INTEGERS)
Element Operations (SYMMETRIC FUNCTIONS)
Element Operations (UNIVARIATE POLYNOMIAL RINGS)
Element Operations (VALUATION RINGS)
Element Operations on Differential Operators (DIFFERENTIAL RINGS)
Element Operations on Differential Ring Elements (DIFFERENTIAL RINGS)
Element Operations with Ideals (POLYNOMIAL RING IDEAL OPERATIONS)
Elementary Operations on Elements (MATRIX ALGEBRAS)
Elements of M
n
as Homomorphisms (MATRIX ALGEBRAS)
Finding Elements with Prescribed Properties (MATRIX GROUPS OVER FINITE FIELDS)
Functions related to Norm and Trace (ALGEBRAIC FUNCTION FIELDS)
Functions related to Orders and Integrality (ALGEBRAIC FUNCTION FIELDS)
Functions related to Places and Divisors (ALGEBRAIC FUNCTION FIELDS)
General Function Field Places (ALGEBRAIC FUNCTION FIELDS)
Generic Element Functions (INTRODUCTION TO RINGS [BASIC RINGS])
Global Function Field Places (ALGEBRAIC FUNCTION FIELDS)
Lattice Elements (LATTICES)
Module Elements (MODULES OVER AN ALGEBRA AND GROUP REPRESENTATIONS)
Operations on Codewords (ADDITIVE CODES)
Operations on Codewords (LINEAR CODES OVER FINITE FIELDS)
Operations on Differentials (ALGEBRAIC CURVES)
Operations on Elements (ABELIAN GROUPS)
Operations on Elements (BLACK-BOX GROUPS)
Operations on Elements (GROUPS OF LIE TYPE)
Operations on Elements (GROUPS OF STRAIGHT-LINE PROGRAMS)
Operations on Elements (p-ADIC RINGS AND THEIR EXTENSIONS)
Operations on Elements of Ideals (FINITELY PRESENTED ALGEBRAS)
Operations on Elements of Ideals (LOCAL POLYNOMIAL RINGS)
Operations on Lattice Elements (MODULES OVER AN ALGEBRA AND GROUP REPRESENTATIONS)
Operations on Matrices (MATRIX GROUPS OVER GENERAL RINGS)
Operations on Poset Elements (GROUPS)
Operations on the Set of Elements (GROUPS)
Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
Predicates on Algebra Elements (FINITELY PRESENTED ALGEBRAS)
Predicates on Nearfield Elements (NEARFIELDS)
Predicates on Ring Elements (ALGEBRAICALLY CLOSED FIELDS)
Predicates on Ring Elements (FINITE FIELDS)
Predicates on Ring Elements (GALOIS RINGS)
Predicates on Ring Elements (INTEGER RESIDUE CLASS RINGS)
Predicates on Ring Elements (INTRODUCTION TO RINGS [BASIC RINGS])
Predicates on Ring Elements (MULTIVARIATE POLYNOMIAL RINGS)
Predicates on Ring Elements (POWER, LAURENT AND PUISEUX SERIES)
Predicates on Ring Elements (RATIONAL FIELD)
Predicates on Ring Elements (RATIONAL FUNCTION FIELDS)
Predicates on Ring Elements (RING OF INTEGERS)
Predicates on Ring Elements (UNIVARIATE POLYNOMIAL RINGS)
Properties of Elements (GROUPS OF LIE TYPE)
Properties of Groups of Lie Type (GROUPS OF LIE TYPE)
Properties of Lattice Elements (MODULES OVER AN ALGEBRA AND GROUP REPRESENTATIONS)
Selecting Elements of Sets (SETS)
Selection Operators on Enumerated Sequences (SEQUENCES)
Specification of Elements (POLYCYCLIC GROUPS)
String Operations on Words (FINITELY PRESENTED SEMIGROUPS)
Contents
Index (e)
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V2.28, 13 July 2023