Groups associated with modules over nearrings

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...

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Бібліографічні деталі
Дата:2007
Автори: Artemovych, O.D., Kravets, I.V.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2007
Назва видання:Algebra and Discrete Mathematics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/157341
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1573412019-06-21T01:30:14Z Groups associated with modules over nearrings Artemovych, O.D. Kravets, I.V. 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 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. 2007 Article 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. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/157341 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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 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.
format Article
author Artemovych, O.D.
Kravets, I.V.
spellingShingle Artemovych, O.D.
Kravets, I.V.
Groups associated with modules over nearrings
Algebra and Discrete Mathematics
author_facet Artemovych, O.D.
Kravets, I.V.
author_sort Artemovych, O.D.
title Groups associated with modules over nearrings
title_short Groups associated with modules over nearrings
title_full Groups associated with modules over nearrings
title_fullStr Groups associated with modules over nearrings
title_full_unstemmed Groups associated with modules over nearrings
title_sort groups associated with modules over nearrings
publisher Інститут прикладної математики і механіки НАН України
publishDate 2007
url http://dspace.nbuv.gov.ua/handle/123456789/157341
citation_txt 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.
series Algebra and Discrete Mathematics
work_keys_str_mv AT artemovychod groupsassociatedwithmodulesovernearrings
AT kravetsiv groupsassociatedwithmodulesovernearrings
first_indexed 2023-05-20T17:52:30Z
last_indexed 2023-05-20T17:52:30Z
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