This week's seminars
Pure Maths Colloquium: Noetherian rings and Noetherian spaces
18 March 2019 16:00 in CM219
The prime spectrum of a commutative ring (– the topological space consisting of the prime ideals of the ring, with the Zariski topology) is a central object of study in modern mathematics. In this talk we look at ways of obtaining rings having a given prime spectrum, with a particular focus on the Noetherian case. We then see how these methods can be used to investigate the long-standing question of which partially ordered sets can arise as the set of prime ideals of a commutative Noetherian ring.
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