Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Ordinal sum-sets


Author: Martin M. Zuckerman
Journal: Proc. Amer. Math. Soc. 35 (1972), 242-248
MSC: Primary 04A10
DOI: https://doi.org/10.1090/S0002-9939-1972-0314626-X
MathSciNet review: 0314626
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A finite set, B, of ordinals will be called a sum-set if there are nonzero ordinals $ {\alpha _1},{\alpha _2}, \cdots ,{\alpha _n}$ such that the set of sums of $ {\alpha _1},{\alpha _2}, \cdots ,{\alpha _n}$, in all n! permutations of the summands, is B. Let $ {B_k}$ denote an arbitrary k-element sum-set; we consider various matters related to the set of numbers n for which there are n summands for $ {B_k}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 04A10

Retrieve articles in all journals with MSC: 04A10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0314626-X
Keywords: Ordinal addition, Cantor normal form, permutations of summands
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society