Mixed Abelian Groups with Isomorphic Endomorphism Semigroups
Matematičeskie zametki, Tome 97 (2015) no. 4, pp. 556-565
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In the present paper, mixed Abelian groups with isomorphic endomorphism semigroups are studied. In particular, we characterize the groups whose periodic parts are nonisomorphic, while their endomorphism semigroups are isomorphic. A description of nonreduced split mixed Abelian groups with $UA$-rings of endomorphisms is obtained.
Keywords:
mixed Abelian group, endomorphism semigroup, $UA$-ring of endomorphisms.
@article{MZM_2015_97_4_a5,
author = {O. V. Ljubimtsev and D. S. Chistyakov},
title = {Mixed {Abelian} {Groups} with {Isomorphic} {Endomorphism} {Semigroups}},
journal = {Matemati\v{c}eskie zametki},
pages = {556--565},
publisher = {mathdoc},
volume = {97},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_4_a5/}
}
O. V. Ljubimtsev; D. S. Chistyakov. Mixed Abelian Groups with Isomorphic Endomorphism Semigroups. Matematičeskie zametki, Tome 97 (2015) no. 4, pp. 556-565. http://geodesic.mathdoc.fr/item/MZM_2015_97_4_a5/