Affiliation:
1. Kazan Federal University
Abstract
Conditions are studied under which an arbitrary direct sum of essentially (quasi-) injective modules is an essentially (quasi-) injective module. A description of essentially quasi-injective Abelian groups is obtained.
Reference28 articles.
1. Srivastava A.K., Tuganbaev A.A., Asensio P.A.G. Invariance of Modules under Automorphisms of their Envelopes and Covers (Cambridge Univ. Press, 2021).
2. Tuganbaev A.A. Arithmetical Rings and Endomorphisms (Walter de Gruyter GmbH, Berlin-Boston, 2019).
3. Abyzov A.N., Kuin' Ch.K., Tuganbaev A.A. Moduli, invariantnye otnositel'no avtomorfizmov i idempotentnykh endomorfizmov svoikh obolochek i nakrytii, Itogi nauki i tekhn. Ser. Sovrem. matem. i ee pril. Temat. obz. 159, 3–45 (2019).
4. Tuganbaev A.A. Avtomorfizm-prodolzhaemye i endomorfizm-prodolzhaemye moduli, Fundament. i prikl. matem. 21 (4), 175–248 (2016).
5. Tuganbaev A.A. Extending and Lifting of Endomorphisms and Automorphisms of Modules over Non-Primitive HNP Rings, Lobachevskii J. Math. 42 (4), 767–775 (2021).