Costruzione di un universo di dispositivi ciclicamente monotoni massimali
Let and be abelian categories with enough projective and injective objects, and a left exact additive functor. Then one has a comma category . It is shown that if is -exact, then is a (hereditary) cotorsion pair in and ) is a (hereditary) cotorsion pair in if and only if is a (hereditary) cotorsion pair in and and are closed under extensions. Furthermore, we characterize when special preenveloping classes in abelian categories and can induce special preenveloping classes...
In this paper the concepts of mixed cartesian square and quasi-cocartesian square, already known in the category of groups, are adapted to the category of Lie algebras. These concepts can be used in the study of the obstructions of Lie algebra extensions in the same way that Wu has studied the obstructions of group extensions.