Quotient Modules

Contents

Construction of Quotient Modules

quo<M | L> : ModTupRng, List -> ModTupRng
quo<M | L> : ModMatRng, List -> ModMatRng
Given an R-module M, construct the quotient module P = M/N, where N is the submodule generated by the elements of M specified by the list L. Each term Li of the list L must be an expression defining an object of one of the following types:
(a)
A sequence of n elements of R defining an element of M;

(b)
A set or sequence whose terms are elements of M;

(c)
A submodule of M;

(d)
A set or sequence whose terms are submodules of M.

The generators constructed for N consist of the elements specified by terms Li together with the stored generators for submodules specified by terms of Li.

The constructor returns the quotient module P and the natural homomorphism f : M -> P.

V2.28, 13 July 2023