Membership deformations and obscure n-ary algebras

Clicks: 1
ID: 311720
2022
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal

Ranked #601 of 631 articles by views in science and technology of advanced materials

Most read Least read

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 minted

Create 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.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
In chapter 8 a new general mechanism for ‘breaking’ commutativity in algebras is proposed: if the underlying set is taken to be not a crisp set, but rather an obscure/fuzzy set, the membership function, reflecting the degree of truth that an element belongs to the set, can be incorporated into the commutation relations. Special ‘deformations’ of commutativity and almost commutativity are introduced in such a way that equal degrees of truth result in the ‘nondeformed’ case. We also sketch how to ‘deform’ ε-Lie algebras and Weyl algebras and introduce the double almost-Lie algebras. Further, the above constructions are extended to n-ary algebras for which the analogs of projective representations and ε-commutativity are studied.
Reference Key
persistent_1771691419_6999dd9b30f0c 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
10.1088/978-0-7503-2648-3ch8
URL
https://iopscience.iop.org/book/mono/978-0-7503-2648-3/chapter/bk978-0-7503-2648-3ch8.pdf
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.