English

Inifnite hypercomplex number system factorization methods

Numerical Analysis 2014-01-14 v1 Data Structures and Algorithms

Abstract

The method of obtaining the set of noncanonical hypercomplex number systems by conversion of infinite hypercomplex number system to finite hypercomplex number system depending on multiplication rules and factorization method is described. Systems obtained by this method starting from the 3rddimension are noncanonical. The obtained systems of even dimension can be re-factorized. As a result of it hypercomplex number system of two times less dimension are got.

Keywords

Cite

@article{arxiv.1401.2844,
  title  = {Inifnite hypercomplex number system factorization methods},
  author = {Yakiv O. Kalinovsky and Dmitry V. Lande and Yuliya E. Boyarinova and Iana V. Khitsko},
  journal= {arXiv preprint arXiv:1401.2844},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-22T02:44:02.925Z