existence of pseudo-superinvolutions of the first kind
Clicks: 12
ID: 152684
2008
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 โ
reader engagement is measured and shown alongside.
Reader Engagement
Emerging Content
3.3
/100
12 views
2 readers
AI Quality Assessment
Not analyzed
Readership in this journal
EmergingRanked #294 of 403 articles by views in structural engineering and mechanics
Most read
Least read
Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 403 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.
5
SUSD
one-off · no wallet required
Abstract
๏ปฟOur main purpose is to develop the theory of existence of pseudo-superinvolutions of the first kind on finite dimensional central simple associative superalgebras over ๐พ, where ๐พ
is a field of characteristic not 2. We try to
show which kind of finite dimensional central simple associative superalgebras
have a pseudo-superinvolution of the first kind.
We will show that a division superalgebra ๐
over a field ๐พ
of characteristic not 2 of even type has pseudo-superinvolution (i.e., ๐พ-antiautomorphism ๐ฝ such that (๐๐ฟ)๐ฝ2=(โ1)๐ฟ๐๐ฟ)
of the first kind if and only if ๐
is of order 2 in the Brauer-Wall group BW(๐พ). We will also show that a division superalgebra ๐
of odd type over a field ๐พ
of characteristic not 2 has a pseudo-superinvolution of the first kind if and only if โโ1โ๐พ,
and ๐
is of order 2 in the Brauer-Wall group BW(๐พ).
Finally, we study the existence of pseudo-superinvolutions on central simple superalgebras
๐=๐๐+๐(๐0).
| Reference Key |
jaber2008internationalexistence
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | ;Ameer Jaber |
| Journal | structural engineering and mechanics |
| Year | 2008 |
| DOI |
10.1155/2008/386468
|
| URL | |
| Keywords |
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.