Rings and Geometry

Inbunden, Engelska, 1985

3 231 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:1985-09-30
Mått:155 x 235 x undefined mm
Format:Inbunden
Språk:Engelska
Serie:Nato Science Series C:
Antal sidor:568
Förlag:Springer
ISBN:9789027721129

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Innehållsförteckning

I: Non-Commutative Algebraic Geometry.- Principles of non-commutative algebraic geometry.- Applications of results on generalized polynomial identities in Desarguesian projective spaces.- II: Hjelmslev Geometries.- A topological characterization of Hjelmslev’s classical geometries.- Finite Hjelmslev planes and Klingenberg epimorphisms.- III: Geometries over Alternative Rings.- Generalizing the Moufang plane.- Projective ring planes and their homomorphisms.- IV: Metric Ring Geometries, Linear Groups over Rings and Coordinatization.- Topics in geometric algebra over rings.- Metric geometry over local-global commutative rings.- Linear mappings of matrix rings preserving invariants.- Kinematic algebras and their geometries.- Coordinatization of lattices.- Epilog.- The advantage of geometric concepts in mathematics.- Index of Subjects.