Rings and Geometry

Inbunden, Engelska, 1985

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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

Utgivningsdatum1985-09-30
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieNato Science Series C:
Antal sidor568
FörlagSpringer
ISBN9789027721129

Tillhör följande kategorier

Algebra inom Naturvetenskap och teknik
Talteori inom Naturvetenskap och teknik

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.