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Beschreibung
When looking for applications of ring theory in geometry, one first thinks of algebraic geometry, which sometimes may even be interpreted as the concrete side of commutative algebra. However, this highly de veloped branch of mathematics has been dealt with in a variety of mono graphs, so that - in spite of its technical complexity - it can be regarded as relatively well accessible. While in the… last 120 years algebraic geometry has again and again attracted concentrated interes- which right now has reached a peak once more - , the numerous other applications of ring theory in geometry have not been assembled in a textbook and are scattered in many papers throughout the literature, which makes it hard for them to emerge from the shadow of the brilliant theory of algebraic geometry. It is the aim of these proceedings to give a unifying presentation of those geometrical applications of ring theo~y outside of algebraic geometry, and to show that they offer a considerable wealth of beauti ful ideas, too. Furthermore it becomes apparent that there are natural connections to many branches of modern mathematics, e. g. to the theory of (algebraic) groups and of Jordan algebras, and to combinatorics. To make these remarks more precise, we will now give a description of the contents. In the first chapter, an approach towards a theory of non-commutative algebraic geometry is attempted from two different points of view. 353,09 €
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Technische Daten
Erscheinungsdatum
02.10.2011
Sprache
Englisch
EAN
9789401089111
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Nato Science Series C:
Sonderedition
Nein
Seitenanzahl
568
Auflage
1
Einbandart
Broschiert
Bandzählung
160
Schlagwörter
algebra, algebraic geometry, commutative algebra, homomorphism, linear algebra, matrices, matrix, quadratic form
Thema-Inhalt
PBF - Algebra
Höhe
240 mm
Breite
16 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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