English

Bioperational Multisets in Various Semi-rings

Rings and Algebras 2019-08-12 v1 Number Theory

Abstract

One can find lists of whole numbers having equal sum and product. We call such a creature a bioperational multiset. No one seems to have seriously studied them in areas outside whole numbers such as the rationals, Gaussian integers, or semi-rings. We enumerate all possible sum-products for a bioperational multiset over whole numbers and six additional domains.

Keywords

Cite

@article{arxiv.1908.03235,
  title  = {Bioperational Multisets in Various Semi-rings},
  author = {Onno M. Cain},
  journal= {arXiv preprint arXiv:1908.03235},
  year   = {2019}
}

Comments

13 pages

R2 v1 2026-06-23T10:43:19.540Z