Commutative algebra

Kursens poäng (högskolepoäng, hp) 7.5 p
Kursen ges normalt Period 1, even-numbered years
Tillhör forskarskola Matematik
Tillhör institution Matematiska vetenskaper
Kursansvarig
Per Salberger, salberg@chalmers.se
Kursbeskrivning
In the course we demonstrate structure theorems for commutative rings with applications in algebraic geometry, algebraic number theory and complex analysis. In order to construct and study new commutative rings from known ones, we consider polynomials and compute with fractions and congruences. We introduce a theory of dimension for commutative rings and relate it to the transcendence degree of field extensions. Finally, we study Dedekind rings and, time permitting, p-adic numbers.

Publicerad: ti 29 jan 2013.