Tag Archives: morphisms

Commutative Algebra 18

Posted on April 5, 2020 by limsup

Basics of Category Theory As we proceed, we should cover some rudimentary category theory or many of the subsequent constructions would seem unmotivated. The essence of category is in studying algebraic objects and the homomorphisms between them. By now we have … Continue reading →

Posted in Advanced Algebra | Tagged , , , , , , , | 2 Comments

Commutative Algebra 5

Posted on March 23, 2020 by limsup

Morphisms in Algebraic Geometry Next we study the “nice” functions between closed subspaces of . Definition. Suppose and are closed subsets. A morphism is a function which can be expressed as: for some polynomials . We also say f is a regular … Continue reading →

Posted in Advanced Algebra | Tagged , , , , , | 2 Comments