Isomorphisms of semigroups of endomorphisms of mixed Abelian groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2018), pp. 54-60
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We study Abelian groups such that their endomorphism ring is a unique addition ring. It means that there exists a unique binary operation of addition which turns endomorphism semigroup into a ring. We solve also close questions.
Keywords:
mixed Abelian group, endomorphism semigroup, $\mathrm{UA}$-ring.
@article{IVM_2018_7_a3,
author = {D. S. Chistyakov},
title = {Isomorphisms of semigroups of endomorphisms of mixed {Abelian} groups},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {54--60},
publisher = {mathdoc},
number = {7},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2018_7_a3/}
}
D. S. Chistyakov. Isomorphisms of semigroups of endomorphisms of mixed Abelian groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2018), pp. 54-60. http://geodesic.mathdoc.fr/item/IVM_2018_7_a3/