General preservers of quasi-commutativity ; Splošni ohranjevalci kvazi-komutativnosti
| العنوان: | General preservers of quasi-commutativity ; Splošni ohranjevalci kvazi-komutativnosti |
|---|---|
| المؤلفون: | Dolinar, Gregor, Kuzma, Bojan |
| سنة النشر: | 2017 |
| المجموعة: | Univerza na Primorskem: RUP |
| مصطلحات موضوعية: | mathematics, linear algebra, general preserver, matrix algebra, quasi-commutativity, matematika, linearna algebra, splošni ohranjevalci, matrična algebra, kvazi-komutativnost, info:eu-repo/classification/udc/512.643 |
| الوصف: | Let ▫$M_n$▫ be the algebra of all ▫$n times n$▫ matrices over ▫$mathbb{C}$▫. We say that ▫$A, B in M_n$▫ quasi-commute if there exists a nonzero ▫$xi in mathbb{C}$▫ such that ▫$AB = xi BA$▫. In the paper we classify bijective not necessarily linear maps ▫$Phi colon M_n to M_n$▫ which preserve quasi-commutativity in both directions. ; Naj bo ▫$M_n$▫ algebra vseh ▫$n times n$▫ matrik nad obsegom ▫$mathbb{C}$▫. Pravimo, da matriki ▫$A, B in M_n$▫ kvazi-komutirata, če obstaja tak neničelni skalar ▫$xi in mathbb{C}$▫, da je ▫$AB = xi BA$▫. V članku klasificiramo bijektivne ne nujno linearne preslikave iz ▫$M_n$▫ v ▫$M_n$▫, ki ohranjajo kvazi-komutativnost v obeh smereh. |
| نوع الوثيقة: | other/unknown material |
| وصف الملف: | text/url |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/pissn/0008-414X; https://repozitorij.upr.si/IzpisGradiva.php?id=7732; https://repozitorij.upr.si/Dokument.php?id=7732&dn=; https://plus.si.cobiss.net/opac7/bib/15627353?lang=sl |
| الاتاحة: | https://repozitorij.upr.si/IzpisGradiva.php?id=7732 https://repozitorij.upr.si/Dokument.php?id=7732&dn= https://plus.si.cobiss.net/opac7/bib/15627353?lang=sl |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.F0A43593 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |