eng URI http://hdl.handle.net/10795/3714 Άλγεβρα In this paper, we show that the injective dimension of all projective modules over a countable ring is bounded by the self-injective dimension of the ring. We also examine the extent to which the flat length of all injective modules is bounded by the flat length of an injective cogenerator. To that end, we study the relation between these finiteness conditions on the ring and certain properties of the (strict) Mittag-Leffler modules. We also examine the relation between the self-injective dimension of the integral group ring of a group and Ikenaga’s generalized (co-)homological dimension 12 pp. LOMv1.0 creator LOMv1.0 Scientific Coordinator LOMv1.0 Project Final Beneficiary LOMv1.0 Project Executing Organisation 2015 Digital Library of the Operational Programme "Education and Lifelong Learning" abstract types Text 124928 application/pdf http://repository.edulll.gr/edulll/bitstream/10795/3714/2/3714_homological%20finiteness.pdf Προς δημοσίευση σε επιστημονικό περιοδικό URI http://hdl.handle.net/10795/3714 LOMv1.0creator 2016-06-22T09:54:11Z LOMv1.0validator 2016-06-22T09:54:11Z LOMv1.0 gre no no Copyright EYD-EPEDBM (Operational Programme "Education and Lifelong Learning")