Groups associated with modules over nearrings
Algebra and discrete mathematics, no. 2 (2007), pp. 16-21
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We construct a group $D(I,T)$ associated with the pair $(I,T)$, where $I$ is a nontrivial distributive submodule of a left $N$-module $G$ $T$ is a nontrivial subgroup of the unit group $U(N)$ of a right nearring $N$ with an identity element, and find criteria for $D(I,T)$ to be a Frobenius group.
@article{ADM_2007_2_a2,
author = {O. D. Artemovych and I. V. Kravets},
title = {Groups associated with modules over nearrings},
journal = {Algebra and discrete mathematics},
pages = {16--21},
publisher = {mathdoc},
number = {2},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2007_2_a2/}
}
O. D. Artemovych; I. V. Kravets. Groups associated with modules over nearrings. Algebra and discrete mathematics, no. 2 (2007), pp. 16-21. http://geodesic.mathdoc.fr/item/ADM_2007_2_a2/