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Description: |
In this joint work with Alberto Facchini and Carmelo Antonio Finocchiaro we begin with a complete lattice L equipped with a binary multiplication such that the product of any two elements is less or equal to their meet. As suggested by the so-called "Abstract ideal theory" we define the spectrum Spec(L) as the space of prime elements in L and prove that Spec(L) is a sober space. Then we discuss sufficient conditions for Spec(L) to be a spectral space. We consider various examples, and in particular propose a new kind of 'non-commutative topology' based on commutator theory.
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Date: |
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| Start Time: |
15:00 |
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Speaker: |
George Janelidze (Univ. Cape Town, South Africa)
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Institution: |
University of Cape Town
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| Research Groups: |
-Algebra, Logic and Topology
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See more:
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<Main>
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