Polyadic algebras and deformations
Article Quality & Performance Metrics
Readership in this journal
EmergingRanked #606 of 631 articles by views in science and technology of advanced materials
Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 631 in total.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
Abstract
In chapter 5 concrete two-set (module-like and algebra-like) algebraic structures are investigated from the viewpoint that the initial arities of all operations are arbitrary. Relations between operations arising from the structure definitions, however, lead to restrictions which determine their possible arity shapes (which are ‘quantized’) and allow us to formulate the partial arity freedom principle. Polyadic vector spaces and dual vector spaces, direct sums, associative algebras and tensor products are reconsidered, and a classification in terms of the units and zeroes of an algebra and its underlying field is provided. Medial polyadic associative algebras are introduced, their ‘quantized’ arity shape is given, and polyadic structure constants are defined.
| Reference Key |
persistent_1771691290_6999dd1ad575f
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | Steven Duplij |
| Journal | science and technology of advanced materials |
| Year | 2022 |
| DOI |
10.1088/978-0-7503-2648-3ch5
|
| URL | |
| Keywords | Keywords not found |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.