-
Quasi-identities on matrices and the Cayley-Hamilton polynomialBrešar, Matej ; Procesi, Claudio ; Špenko, ŠpelaČlanek obravnava določene funkcijske identitete na algebri matrik ▫$M_n$▫, ki so definirane podobno kot identitete s sledjo, le da so "koeficienti" poljubni polinomi, ne le ti, ki izhajajo iz sledi. ... Glavna tema članka je vprašanje, ali taka identiteta izhaja iz Cayley-Hamiltonove identitete. Za več posebnih primerov pokažemo, da je to res. Še več, za vsak centralni polinom ▫$c$▫ z ničelnim konstantnim členom obstaja tako naravno število ▫$m$▫, da pozitiven odgovor velja za ▫$c^mP$▫. Toda v splošnem je odgovor negativen. Dokažemo, da obstajajo take antisimetrične identitete, ki ne sledijo iz Cayley-Hamiltonove identitete, in podamo popoln opis posebne družine takih identitet.Source: Advances in mathematics. - ISSN 0001-8708 (Vol. 280, 2015, str. 439-471)Type of material - article, component part ; adult, seriousPublish date - 2015Language - englishCOBISS.SI-ID - 17308505
Author
Brešar, Matej |
Procesi, Claudio |
Špenko, Špela
Topics
funkcijske identitete |
kvazi-polinom |
Cayley-Hamiltonova identiteta |
T-ideal |
identiteta s sledjo |
polinomska identiteta |
matrična algebra |
algebra s sledjo |
Azumayeva algebra |
functional identity |
quasi-polynomial |
quasi-identity |
Cayley-Hamilton identity |
T-ideal |
trace identity |
polynomial identity |
matrix algebra |
algebra with trace |
Azumaya algebra
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|---|
Brešar, Matej | 08721 |
Procesi, Claudio | ![]() |
Špenko, Špela | 33617 |
Select pickup location:
Material pickup by post
Notification
Subject headings in COBISS General List of Subject Headings
Select pickup location
Pickup location | Material status | Reservation |
---|
Please wait a moment.