Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Αλειφέρη Ευαγγελία
Supervisors info:
Ολυμπία Ταλέλλη Καθηγ.(Επιβλέπουσα), Ιωάννης Εμμανουήλ Καθηγ., Μιχάλης Μαλιάκας Καθηγ.
Original Title:
Μια λύση στο Πρόβλημα Διάσπασης του Baer
Translated title:
A Solution to the Baer Splitting Problem
Summary:
The purpose of this project is to prove that every Baer module over a
commutative domain is projective. This problem raised by Kaplansky in 1962 and
generalizes a problem that was introduced by Baer in 1936. We will use the
useful notion of Pure submodule and the Mittag-Leffler condition.
Keywords:
Homological Algebra, Module, Pure Submodule, Baer Module, Mittag-Leffler Condition
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