# Degree -- specify the degree of a map

## Synopsis

• Usage:
map(..., Degree=>d)

## Description

Specifies that the degree of the map created should be d. The degree may be an integer or a list of integers (multidegree). The length of the list should be the same as the length of a degree for the ring, see degreeLength.

 i1 : R = ZZ/101[x] o1 = R o1 : PolynomialRing i2 : p = map(R^1, R^1, {{x^4}}) o2 = | x4 | 1 1 o2 : Matrix R <--- R i3 : isHomogeneous p o3 = false i4 : q = map(R^1, R^1, {{x^4}}, Degree => 4) o4 = | x4 | 1 1 o4 : Matrix R <--- R i5 : isHomogeneous q o5 = true

## Functions with optional argument named Degree :

• "basis(...,Degree=>...)" -- see basis -- basis or generating set of all or part of a ring, ideal or module
• cohomology(...,Degree=>...) (missing documentation)
• "map(...,Degree=>...)"
• inducedMap(...,Degree=>...) -- specify the degree of a map
• "matrix(...,Degree=>...)" -- see matrix(List) -- create a matrix from a doubly-nested list of ring elements or matrices

## For the programmer

The object Degree is .