Contributions to abelian category theory, non-Artinian rings/semi-Artinian rings and modules, Gabriel–Popescu theorem
Scientific career
Fields
Mathematics, Category theory
Institutions
Institute of Mathematics of the Romanian Academy University of Bucharest
Thesis
Krull–Remak–Schmidt Theorem and Theory of Decomposition (1967)
Doctoral advisor
Gheorghe Galbură [ro]
Doctoral students
Adrian Ioviță Alexandru Zaharescu
Nicolae Popescu (Romanian:[nikoˈla.epoˈpesku]; 22 September 1937 – 29 July 2010) was a Romanian mathematician and professor at the University of Bucharest. He also held a research position at the Institute of Mathematics of the Romanian Academy, and was elected corresponding Member of the Romanian Academy in 1997.[1]
He is best known for his contributions to algebra and the theory of abelian categories. From 1964 to 2007 he collaborated with Pierre Gabriel on the characterization of abelian categories; their best-known result is the Gabriel–Popescu theorem, published in 1964.[2] His areas of expertise were category theory, abelian categories with applications to rings and modules, adjoint functors, limits and colimits, the theory of sheaves, the theory of rings, fields and polynomials, and valuation theory. He also had interests and published in algebraic topology, algebraic geometry, commutative algebra, K-theory, class field theory, and algebraic function theory.
^"Membrii Academiei Române din 1866 până în prezent" (in Romanian). Retrieved May 19, 2020.
^Gabriel, Pierre; Popesco, Nicolae (1964), "Caractérisation des catégories abéliennes avec générateurs et limites inductives exactes", Comptes rendus de l'Académie des Sciences, 258: 4188–4190, MR 0166241
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in fact abelian categories; for example, Ab is an abelian category. NicolaePopescu; 1973; Abelian Categories with Applications to Rings and Modules; Academic...
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Veniamin Urseanu 1972: Bernard Bereanu; Nicolae Pavel; Gustav Peeters; Elena Moldovan Popoviciu 1971: NicolaePopescu 1970: Viorel Barbu; Dorin Ieșan [ro]...
Faculty of Education, Chiba University. 21: 83–93. ISSN 0577-6856. Popescu, Nicolae; Popescu, Liliana (1979). "Categories and functors". Theory of categories...
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