Record Details     « New Search       Brief Record Full Record MARC Record     Bibliographic Data Control Number 335212 Date and Time of Latest Transaction 20180522074312.AM General Information 180522s |||||||||b ||00||| Cataloging Source STII-DOST Language Code eng Local Call Number Fil Q149 P5 N25 v.15 Main Entry - Personal Name Cawagas, Raoul E. Title Statement Construction of all cayley algebras of order 2r by the zsm process by Raoul E. Cawagas Physical Description 133-142 Summary, Etc. The existence of Cayley Algebras of order 2r is established by construction. These are real division algebras which include the real numbers R (order 2°), the complex numbers C (order 21) and the quaternions H (order 22) all of which are associative - and the Cayley numbers 0 (Order• 23) which are nonassociative. This paper shows that all of these real division algebras have a common structure exemplified by the Cayley numbers and they all belong to a single family composed of classes of Cayley algebras of. order 2r, where r is any positive integer. This is done by introducing the ZSM Process to construct all of these algebras Subject Added Entry - Topical Term Science and technology   Zsm process   Cayley algebras   Mathematical science   Algebra           Physical Location           Digital Copy Not Available          Add to Book Cart  |   Download MARC