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General Rings, Ideals, and Morphisms

Version 10.8 Reference Manual

Home - General Rings, Ideals, and Morphisms

Rings
Abstract base classes for rings

Ideals of commutative rings
Monoid of ideals in a commutative ring
Ideals of non-commutative rings

Homomorphisms of rings
Space of homomorphisms between two rings

Quotient Rings
Quotient Ring Elements

Fraction Field of Integral Domains
Fraction Field Elements

Localization

Extension of rings
Elements lying in extension of rings
Morphisms between extension of rings

Generic data structures and algorithms for rings

Big O for various types (power series, \(p\)-adics, etc.)
Signed and Unsigned Infinities
Support Python’s numbers abstract base class

Derivations

Support Python’s numbers abstract base class¶

See also

PEP 3141 for more information about numbers.

Signed and Unsigned Infinities

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