Homogeneous mappings of Abelian groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2014), pp. 61-68
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In this paper we study Abelian groups whose homogeneous map to other Abelian groups represents a homomorphism. We consider these groups as modules over the ring of integers and over their endomorphism ring. We also study related issues.
Keywords:
Abelian group, homogeneous map, near-ring.
@article{IVM_2014_2_a7,
author = {D. S. Chistyakov},
title = {Homogeneous mappings of {Abelian} groups},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {61--68},
publisher = {mathdoc},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2014_2_a7/}
}
D. S. Chistyakov. Homogeneous mappings of Abelian groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2014), pp. 61-68. http://geodesic.mathdoc.fr/item/IVM_2014_2_a7/