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Ordered algebraic structures --- Artin rings. --- Artin algebras. --- Representations of algebras.

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Ordered algebraic structures --- Artin rings. --- Representations of rings (Algebra) --- Partially ordered sets --- Representations of algebras --- Anneaux artiniens. --- Ensembles partiellement ordonnés. --- Représentations d'algèbres. --- Artin rings --- Rings (Algebra) --- Algebra --- Posets --- Sets, Partially ordered --- Ordered sets --- Artinian rings --- Rings, Artin --- Rings, Artinian --- Associative rings --- Commutative rings

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This book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulated categories.

Mathematics --- Category theory. Homological algebra --- Ordered algebraic structures --- Algebra --- Algebraic geometry --- Differential geometry. Global analysis --- Geometry --- Ergodic theory. Information theory --- algebra --- landmeetkunde --- differentiaal geometrie --- wiskunde --- geometrie --- informatietheorie

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This book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulated categories.

Representations of algebras. --- Mathematics. --- Algebra. --- Algebraic geometry. --- Associative rings. --- Rings (Algebra). --- Category theory (Mathematics). --- Homological algebra. --- Commutative algebra. --- Commutative rings. --- Dynamics. --- Ergodic theory. --- Commutative Rings and Algebras. --- Algebraic Geometry. --- Associative Rings and Algebras. --- Category Theory, Homological Algebra. --- Dynamical Systems and Ergodic Theory. --- Algebra --- Geometry, algebraic. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Algebraic geometry --- Geometry --- Mathematics --- Mathematical analysis --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Homological algebra --- Algebra, Abstract --- Homology theory --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra)