Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 159 (2019), pp. 3-45

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The paper contains both previously known and new results on automorphism-invariant modules, automorphism-coinvariant modules, and modules that are invariant or coinvariant with respect to idempotent endomorphisms of their hulls and their covers, respectively. The main results are given with proofs.
Mots-clés : quasi-injective module, quasi-projective module, automorphism-invariant module, automorphism-liftable module, automorphism-coinvariant module
Keywords: hull, cover.
@article{INTO_2019_159_a0,
     author = {A. N. Abyzov and T. C. Quynh and A. A. Tuganbaev},
     title = {Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--45},
     publisher = {mathdoc},
     volume = {159},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_159_a0/}
}
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A. N. Abyzov; T. C. Quynh; A. A. Tuganbaev. Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 159 (2019), pp. 3-45. http://geodesic.mathdoc.fr/item/INTO_2019_159_a0/