Noncommutative local algebra. (English) Zbl 0830.14002
Abstract: The main purpose of this work is to introduce the first notions of noncommutative algebraic geometry – the spectrum of an abelian category, localizations at points of the spectrum, canonical topologies, supports, associated points, etc. – and to study their basic properties.
Reviewer: Anh Pham Ngoc (Budapest)
MSC:
| 14A22 | Noncommutative algebraic geometry |
| 18E10 | Abelian categories, Grothendieck categories |
| 18E35 | Localization of categories, calculus of fractions |
Keywords:
noncommutative algebraic geometry; spectrum of an abelian category; localizations; canonical topologiesReferences:
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