# RingElement .. RingElement -- a sequence of consecutive generators of a polynomial ring

## Synopsis

• Operator: ..
• Usage:
s .. t
• Inputs:
• s,
• t,
• Outputs:
• the sequence of consecutive generators of a polynomial ring, from s to t, inclusive

## Description

 i1 : R = QQ[a..z] o1 = R o1 : PolynomialRing i2 : b .. i o2 = (b, c, d, e, f, g, h, i) o2 : Sequence i3 : plus oo o3 = b + c + d + e + f + g + h + i o3 : R

Warning: former behavior involved making the names of the generators consecutive, so the results in the next example differ from those given before.

 i4 : R = QQ[e,d,c,b,a,X_1,y,X_2] o4 = R o4 : PolynomialRing i5 : e .. a o5 = () o5 : Sequence i6 : X_1 .. X_2 o6 = (X , X ) 1 2 o6 : Sequence

Warning: since former behavior involved only the names of the generators, there was no requirement that s and t be in the same ring, whereas now there is.