Groups associated with modules over nearrings

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Authors: Artemovych, O.D., Kravets, I.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157341
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Groups associated with modules over nearrings / O.D. Artemovych, I.V. Kravets // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 16–21. — Бібліогр.: 4 назв. — англ.

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. We construc...