Wir verwenden Cookies und Analyse-Tools, um die Nutzerfreundlichkeit der Internet-Seite zu verbessern und für Marketingzwecke. Wenn Sie fortfahren, diese Seite zu verwenden, nehmen wir an, dass Sie damit einverstanden sind. Zur Datenschutzerklärung.
Simple Algebra
CHF 37.20
Auf Lager
SKU
RS86EMR9BHF
1 Verfügbar 
Geliefert zwischen Fr., 23.01.2026 und Mo., 26.01.2026
Details
High Quality Content by WIKIPEDIA articles! In mathematics, specifically in ring theory, an algebra is simple if it contains no non-trivial two-sided ideals and the set {ab a, b are elements of the algebra} {0}. The second condition in the definition precludes the following situation: consider the algebra { begin{bmatrix} 0 & alpha 0 & 0 end{bmatrix}, , alpha in mathbb{C} } with the usual matrix operations. This is a one-dimensional algebra in which the product of any two elements is zero. This condition ensures that the algebra has a minimal nonzero left ideal, which simplifies certain arguments. An immediate example of simple algebras are division algebras, where every element has a multiplicative inverse, for instance, the real algebra of quaternions. Also, one can show that the algebra of n × n matrices with entries in a division ring is simple. In fact, this characterizes all finite dimensional simple algebras up to isomorphism, i.e. any finite dimensional simple algebra is isomorphic to a matrix algebra over some division ring.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131166242
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131166242
- Format Fachbuch
- Titel Simple Algebra
- Herausgeber Betascript Publishing
- Anzahl Seiten 72
- Genre Mathematik
Bewertungen
Schreiben Sie eine Bewertung
