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An introduction to noncommutative algebraic geometry
 Proceedings of the 40th Symposium on Ring Theory and Representation Theory, 53{59, Symp. Ring Theory Represent. Theory Organ. Comm
, 2008
"... Abstract. There are several research elds called noncommutative algebraic geometry. In this note, we will introduce the one founded by M. Artin. Roughly speaking, ..."
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Abstract. There are several research elds called noncommutative algebraic geometry. In this note, we will introduce the one founded by M. Artin. Roughly speaking,
SOME EQUIVARIANT CONSTRUCTIONS IN NONCOMMUTATIVE ALGEBRAIC GEOMETRY
, 2009
"... We here present rudiments of an approach to geometric actions in noncommutative algebraic geometry, based on geometrically admissible actions of monoidal categories. This generalizes the usual (co)module algebras over Hopf algebras which provide affine examples. We introduce a compatibility of mono ..."
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We here present rudiments of an approach to geometric actions in noncommutative algebraic geometry, based on geometrically admissible actions of monoidal categories. This generalizes the usual (co)module algebras over Hopf algebras which provide affine examples. We introduce a compatibility
NONCOMMUTATIVE ALGEBRAIC GEOMETRY: A SURVEY OF THE APPROACH VIA SHEAVES ON NONCOMMUTATIVE SPACES
"... To me noncommutative algebraic geometry came from the consideration of noncommutative spaces defined in terms of notions like: noncommutative valuations and pseudovaluations, primes in algebras, prime ideals of Noetherian rings or prime torsion theories for rings or categories. The root of the the ..."
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To me noncommutative algebraic geometry came from the consideration of noncommutative spaces defined in terms of notions like: noncommutative valuations and pseudovaluations, primes in algebras, prime ideals of Noetherian rings or prime torsion theories for rings or categories. The root
Topics in Noncommutative Algebraic Geometry, Homological Algebra and Ktheory.
"... This text is based on my lectures delivered at the School on Algebraic KTheory and Applications which took place at the International Center for Theoretical Physics (ICTP) in Trieste during the last two weeks of May of 2007. It might be regarded as an introduction to some basic facts of noncommutat ..."
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of noncommutative algebraic geometry and the related
Topological expansion of the Bethe ansatz, and noncommutative algebraic geometry
 JHEP 0903, 094 (2009) [arXiv:0809.3367 [mathph
"... HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
Noncommutative Algebraic Geometry: from piAlgebras to Quantum Groups
"... The main purpose of this paper is to provide a survey of di#erent notions of algebraic geometry, which one may associate to an arbitrary noncommutative ring R. In the first part, we will mainly deal with the prime spectrum of R, endowed both with the Zariski topology and the stable topology. In t ..."
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The main purpose of this paper is to provide a survey of di#erent notions of algebraic geometry, which one may associate to an arbitrary noncommutative ring R. In the first part, we will mainly deal with the prime spectrum of R, endowed both with the Zariski topology and the stable topology
De Rham and infinitesimal cohomology in Kapranov’s model for noncommutative algebraic geometry
, 2001
"... The title refers to the nilcommutative or NCschemes introduced by M. Kapranov in Noncommutative geometry based on commutator expansions, J. reine angew. Math 505 (1998) 73118. The latter are noncommutative nilpotent thickenings of commutative schemes. We consider also the parallel theory of nilP ..."
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The title refers to the nilcommutative or NCschemes introduced by M. Kapranov in Noncommutative geometry based on commutator expansions, J. reine angew. Math 505 (1998) 73118. The latter are noncommutative nilpotent thickenings of commutative schemes. We consider also the parallel theory of nil
Results 1  10
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9,655