Authors
Citation
R. Maltby, A combinatorial identity of subset-sum powers in rings, R MT J MATH, 30(1), 2000, pp. 325-329
Citations number
4
Categorie Soggetti
Mathematics
Journal title
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN journal
00357596
→ ACNP
Volume
30
Issue
1
Year of publication
2000
Pages
325 - 329
Database
ISI
SICI code
0035-7596(200021)30:1<325:ACIOSP>2.0.ZU;2-E
Abstract
Escott showed that, for any set of n natural numbers, the sum of the kth po
wers of the sums of subsets of even cardinality is equal to the sum of the
kth powers of the sums of subsets of odd cardinality for k = 1,..., n - 1.
We present a new proof of this fact which shows that this result holds in n
oncommutative rings as well.