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Cat::ModuleWithBasis -- the category of modules over a distinguished basis

Introduction

Cat::ModuleWithBasis represents the category of modules over a distinguished basis.

Generating the category


Cat::ModuleWithBasis(R)

Details

Basic Entries

basisIndices

the combinatorial class C of the indices of the basis; it must be a Cat::CombinatorialClass.

zero

the zero element

Method term: construct a term

Method term: term constructor

Method monomial: monomial constructor

Method fromList: constructor from list

Method toList: list

Method nterms: nterms

Method terms: terms

Method monomials: monomials

Method coeffs: coefficients

Method coeff: coefficient(s)

Method lsupport: support of the leading term

Method lterm: leading term

Method lmonomial: leading monomial

Method lcoeff: leading coefficient

Method tsupport: support of the trailing term

Method tterm: trailing term

Method tmonomial: trailing monomial

Method tcoeff: trailing coefficient

Method nthsupport: support of the n-th term

Method nthterm: n-th term

Method nthmonomial: n-th monomial

Method nthcoeff: n-th coefficient

Method mapcoeffs: apply a function on all coefficients

Method multcoeffs: (right) multiplication of all coefficients by a constant

Method multcoeffsLeft: left multiplication of all coefficients by a constant

Changes

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MuPAD Combinat, an open source algebraic combinatorics package