Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Zoglopitis Xristos
Supervisors info:
Ιωάννης Εμμανουήλ, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ,
Μιχαήλ Μαλιάκας, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ,
Μιχαήλ Συκιώτης, Αναπληρωτής Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
Ομοτοπικές Ιδιότητες Επίπεδων Προτύπων
Translated title:
Homotopical Properties of Flat Modules
Summary:
The aim of this master thesis is to study homotopical properties of flat modules over any ring R. To be more precise, we provide equivalent descriptions of the complexes of flat R-modules X which have the property that every morphism from a complex of projective modules to X is nullhomotopic. These descriptions were studied and proved by A. Neeman in the paper "The homotopy category of flat modules, and Grothendieck duality", by making use of the Theory of Triangulated Categories. Here, we will adjust and follow the proofs that can be found in the paper "On pure acyclic complexes" of I. Emmanouil, as they are more of algebraic nature.
Main subject category:
Science
Keywords:
Homological Algebra, Chain Complex, Homotopy, Colimit
