We prove that the set of all n-ary endomorphisms of an abelian m-ary group forms an (m,n)-ring.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1026,
author = {Alexander M. Gal'mak},
title = {Generalized morphisms of abelian m-ary groups},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {21},
year = {2001},
pages = {47-55},
zbl = {1022.20037},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1026}
}
Alexander M. Gal'mak. Generalized morphisms of abelian m-ary groups. Discussiones Mathematicae - General Algebra and Applications, Tome 21 (2001) pp. 47-55. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1026/
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