RingFamily

Types of RingFamily:

• InexactFieldFamily -- the class of all families of inexact fields

Methods that use an object of class RingFamily:

• diagonalMatrix(RingFamily,List) -- see diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list
• diagonalMatrix(RingFamily,ZZ,ZZ,List) -- see diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list
• Number ^ RingFamily -- see lift -- lift to another ring
• RingElement ^ RingFamily -- see lift -- lift to another ring
• matrix(RingFamily,List) -- see matrix(Ring,List) -- create a matrix from a doubly nested list of ring elements or matrices
• matrix(RingFamily,Number) -- see matrix(Ring,RingElement) -- make a matrix from a ring element
• matrix(RingFamily,RingElement) -- see matrix(Ring,RingElement) -- make a matrix from a ring element
• module(RingFamily) -- see module(Ring) -- make or get a module
• mutableIdentity(RingFamily,ZZ) -- see mutableIdentity(Ring,ZZ) -- make a mutable identity matrix
• mutableMatrix(RingFamily,List) -- see mutableMatrix -- make a mutable matrix
• mutableMatrix(RingFamily,ZZ,ZZ) -- see mutableMatrix(Ring,ZZ,ZZ) -- make a mutable matrix filled with zeroes
• RingFamily ^ List -- see Ring ^ List -- make a free module
• RingFamily ^ ZZ -- see Ring ^ ZZ -- make a free module
• RingFamily _* -- the common parent for rings in a family
• substitute(Ideal,RingFamily) -- see substitute -- substituting values for variables
• substitute(Matrix,RingFamily) -- see substitute -- substituting values for variables
• substitute(Module,RingFamily) -- see substitute -- substituting values for variables
• substitute(Number,RingFamily) -- see substitute -- substituting values for variables
• substitute(RingElement,RingFamily) -- see substitute -- substituting values for variables
• substitute(Vector,RingFamily) -- see substitute -- substituting values for variables
• vector(RingFamily,List) -- see vector -- make a vector
• vector(RingFamily,Matrix) -- see vector -- make a vector
• vector(RingFamily,Number) -- see vector -- make a vector
• vector(RingFamily,RingElement) -- see vector -- make a vector

For the programmer

The object RingFamily is a type, with ancestor classes Type < MutableHashTable < HashTable < Thing.

The source of this document is in /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/Macaulay2Doc/doc_rings.m2:127:0.