COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.2, ss.1653-1663, 2019 (ESCI)
In this paper; free quadratic modules and totally free objects in the category of quadratic modules are constructed over Lie algebras. We use the free quadratic modules of Lie algebras to show that the category of quadratic module of Lie algebras is a cofibration category by means of Baues.