A. N. Abyzov, A. A. Tuganbaev, D. T. Tapkin, T. C. Quynh, “Direct projective modules, direct injective modules, and their generalizations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 164,Pages <nobr>125

Direct projective modules, direct injective modules, and their generalizations

A. N. Abyzov^a, A. A. Tuganbaev^bc, D. T. Tapkin^a, T. C. Quynh^d

^a Kazan (Volga Region) Federal University
^b Lomonosov Moscow State University
^c National Research University "Moscow Power Engineering Institute"
^d The University of Danang

Abstract: This paper contains new and previously known results on modules that are close to direct projective and direct injective modules. The main results are presented with proofs.

Keywords: direct injective module, direct projective module, simple-direct-injective module, simple-direct-projective module, SSP-module, SIP-module, ring of formal matrices.

UDC: 512.553

MSC: 16D10