MATH 611 Due Wed Sept 23, 1992 IMPORTANT NOTE. In this course, all rings and modules are unitary. Furthermore, if R and S are rings and ρ : R → S , then for ρ to be a ring morphism

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Designware: Software Development by Renement Douglas R. Smith Kestrel Institute, Palo Alto, CaliforniaUSA Abstract

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• Category theory
• Functors
• Morphism
• Sheaf
• Category
• Limit
• Pushout
• Cone
• Diagram

ALGEBRAIC GEOMETRY—Exercises for 4 March Exercise 1. Do HAG, Chapter II, Exercise 1.4. Here is the text of this exercise: (a) Let ϕ: F → G be a morphism of presheaves such that ϕ(U ): F (U ) → G (U ) is injectve

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The kernel of a monoid morphism ´ Pin1 Jean-Eric 1 LIAFA, CNRS and University Paris Diderot

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic structures
• Semigroup theory
• Category theory
• Lattice theory
• Semigroup
• Monoid
• Kernel
• Semilattice
• Free monoid

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• Category theory
• Functors
• Limit
• Dual
• Pushout
• Span
• Diagram
• Universal property
• Morphism
• Is-a
• Category
• Natural transformation

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• Algebra
• Abstract algebra
• Mathematics
• Category theory
• Morphism
• Functor
• Category
• Limit
• Group action
• Subcategory
• Universal property
• Dual

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• Algebra
• Monoidal categories
• Category theory
• Mathematics
• Braided monoidal category
• String diagram
• PRO
• Symmetric monoidal category
• Monoid
• Morphism of algebraic varieties
• Sheaf
• Monoidal functor

HOPF CATEGORIES E. BATISTA, S. CAENEPEEL, AND J. VERCRUYSSE Abstract. We introduce Hopf categories enriched over braided monoidal categories. The notion is linked to several recently developed notions in Hopf algebra the

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• Monoidal categories
• Functor
• Natural transformation
• Hopf algebra
• Morphism
• Adjoint functors
• Coproduct
• Grothendieck topology
• Product
• Category theory
• Abstract algebra
• Algebra

EQUIVARIANT ALGEBRAIC GEOMETRY JANUARY 30, 2015 Note: this was a guest lecture by Arnav Tripathy. 1. G ROTHENDIECK -R IEMANN -R OCH Let f : X → Y be a smooth proper morphism of smooth schemes

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SEIDEL’S MORPHISM OF TORIC 4–MANIFOLDS ´ S´ILVIA ANJOS AND REMI LECLERCQ Abstract. Following McDuff and Tolman’s work on toric manifolds [29], we focus on 4–

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