Finite Maps: Morphism of Schemes

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Projective Morphisms: Theory and Applications

Explores projective morphisms, graded modules, and their applications in algebraic geometry, emphasizing their properties and construction.

Geometric Objects in Algebra

Covers the study of graded modules and quasicoherent sheaves in algebraic geometry.

Primary Decomposition: Understanding Schemes

Explores primary decomposition and schemes in algebraic geometry, emphasizing the importance of working over non-algebraically closed fields and the concept of fibers of morphisms.

Ring Theory: Morphisms and Isomorphisms

Covers commutative ring morphisms, subrings, and injective ring morphisms.

Modern Algebraic Geometry

Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.

Morphism of Groups

Covers the concept of morphism of groups, actions on sets, and automorphisms.

Regularity and Integrality

Covers regularity and integrality in local Noether rings and affine rings.

Field of Fractions: Definition and Properties

Covers the definition and properties of a field of fractions.

Locally Noetherian Schemes

Covers the concept of locally Noetherian schemes in algebraic geometry.

Algebraic Structures of Morphism Spaces

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.