Endoprimal Abelian groups and modules
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2012), pp. 31-34
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In this paper we study homogeneous mappings of a direct sum of copies of a module to this module, the mapping are commuting with elements of the ring. The relation between the generalized endoprimality of the module and the property of unique addition on this ring is established.
Keywords:
endoprimal (generalized endoprimal) module, ring with unique addition, $EE$-group.
@article{VTGU_2012_3_a3,
author = {D. S. Chistyakov},
title = {Endoprimal {Abelian} groups and modules},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {31--34},
publisher = {mathdoc},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2012_3_a3/}
}
D. S. Chistyakov. Endoprimal Abelian groups and modules. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2012), pp. 31-34. http://geodesic.mathdoc.fr/item/VTGU_2012_3_a3/