2013 - Fellow of the American Mathematical Society
Pure mathematics, Discrete mathematics, Homomorphism, Local ring and Algebra are his primary areas of study. His research brings together the fields of Complete intersection ring and Pure mathematics. His studies deal with areas such as Structure, Abelian group and Homology as well as Homomorphism.
His research in Local ring intersects with topics in Commutative property, Equivalence, Noetherian, Exact sequence and Betti number. His research links Dimension with Algebra. His Complete intersection research integrates issues from Global dimension, Flat module, Projective module, Commutative ring and Krull dimension.
The scientist’s investigation covers issues in Pure mathematics, Discrete mathematics, Local ring, Commutative property and Algebra. The concepts of his Pure mathematics study are interwoven with issues in Noetherian and Commutative ring. Luchezar L. Avramov combines subjects such as Ring, Maximal ideal and Polynomial ring with his study of Discrete mathematics.
His studies in Local ring integrate themes in fields like Betti number, Complete intersection, Combinatorics, Homology and Residue field. His Complete intersection research includes elements of Mathematical analysis and Complete intersection ring. His research investigates the connection between Commutative property and topics such as Graded ring that intersect with issues in Hilbert's syzygy theorem.
Luchezar L. Avramov mainly investigates Pure mathematics, Local ring, Discrete mathematics, Noetherian and Commutative property. His Pure mathematics study which covers Commutative ring that intersects with Invertible matrix. His biological study spans a wide range of topics, including Maximal ideal, Residue field, Coherent sheaf and Combinatorics.
His Discrete mathematics research focuses on Commutative algebra in particular. Within one scientific family, he focuses on topics pertaining to Cohomology under Noetherian, and may sometimes address concerns connected to Isomorphism and Functor. Luchezar L. Avramov has included themes like Homomorphism, Algebra over a field and Homology in his Commutative property study.
Luchezar L. Avramov mainly focuses on Pure mathematics, Discrete mathematics, Commutative property, Local ring and Combinatorics. His Pure mathematics research is multidisciplinary, relying on both Polynomial ring and Subadditivity. The Commutative property study combines topics in areas such as Algebra over a field, Homology and Homomorphism.
His research integrates issues of Noetherian, Functor, Cohomology, Isomorphism and Commutative algebra in his study of Homology. His Local ring research incorporates elements of Characterization, Dimension, Residue field and Real number. His work on Koszul complex and Abelian group as part of general Combinatorics research is often related to Intersection theorem, thus linking different fields of science.
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Homological dimensions of unbounded complexes
Luchezar L. Avramov;Hans-Bjørn Foxby.
Journal of Pure and Applied Algebra (1991)
Infinite Free Resolutions
Luchezar L. Avramov.
ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
Luchezar L. Avramov;Alex Martsinkovsky.
Proceedings of The London Mathematical Society (2002)
Support varieties and cohomology over complete intersections
Luchezar L. Avramov;Ragnar-Olaf Buchweitz.
Inventiones Mathematicae (2000)
Complete intersection dimension
Luchezar L. Avramov;Vesselin N. Gasharov;Irena V. Peeva.
Publications Mathématiques de l'IHÉS (1997)
Ring homomorphisms and finite Gorenstein dimension
LL Avramov;H-B Foxby.
Proceedings of The London Mathematical Society (1997)
Modules of finite virtual projective dimension
L. L. Avramov.
Inventiones Mathematicae (1989)
Structure of Local Homomorphisms
Luchezar L. Avramov;Hans-Bjørn Foxby;Bernd Herzog.
Journal of Algebra (1994)
Poincaré series of modules over local rings of small embedding codepth or small linking number
Luchezar L Avramov;Andrew R Kustin;Matthew Miller.
Journal of Algebra (1988)
Resolutions of monomial ideals and cohomology over exterior algebras
Annetta Aramova;Luchezar Avramov;Jürgen Herzog.
Transactions of the American Mathematical Society (1999)
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