@MISC{CAYLDICK.MIZ,
  AUTHOR = {Korni{\l}owicz, Artur},
  TITLE = {Cayley-Dickson Construction},
  SECTION1 = {Preliminaries},
  SECTION2 = {Conjunctive Normed Spaces},
  SECTION3 = {Cayley-Dickson Construction},
  DAY = {6},
  MONTH = {August},
  YEAR = {2012},
  ADDRESS1 = {Institute of Informatics\\University of Bia{\l}ystok\\Sosnowa 64, 15-887 Bia{\l}ystok\\Poland},
  SUMMARY = {Cayley-Dickson construction produces a~sequence
  of normed algebras over real numbers.
  Its consequent applications result in complex numbers,
  quaternions, octonions, etc.
  In this paper we formalize the construction and prove
  its basic properties.}}
