On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings

A finite group is called a Miller–Moreno group if it is non-abelian and all its proper subgroups are abelian. The direct products of Miller–Moreno p-groups and cyclic p-groups as additive groups of nearrings with identity and local nearrings are considered. Cite as: I. Yu. Raievska, “On direct produ...

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Дата:2024
Автор: Raievska, I. Yu.; Інститут математики НАН України, Київ
Формат: Стаття
Опубліковано: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2024
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Онлайн доступ:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.123-130
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Назва журналу:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky
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spelling journalsiapmmlvivua-article-36202025-07-17T21:43:13Z On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings Raievska, I. Yu.; Інститут математики НАН України, Київ nearring, local nearring, Miller–Moreno group UDC 512.6 УДК 512.6 A finite group is called a Miller–Moreno group if it is non-abelian and all its proper subgroups are abelian. The direct products of Miller–Moreno p-groups and cyclic p-groups as additive groups of nearrings with identity and local nearrings are considered. Cite as: I. Yu. Raievska, “On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings,” Prykl. Probl. Mekh. Mat., Issue 22, 123–130 (2024), https://doi.org/10.15407/apmm2024.22.123-130 Про прямі добутки метациклічних p-груп Міллера–Морено та циклічних p-груп як адитивних груп локальних майже-кілець Скінченна група називається групою Міллера–Морено, якщо вона неабелева і всі її власні підгрупи є абелевими. Розглядаються прямі добутки p-груп Міллера–Морено та циклічних p-груп як адитивних груп майже-кілець з одиницею та локальних майже-кілець. Зразок для цитування: I. Yu. Raievska, “On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings,” Прикл. проблеми механіки і математики, Вип. 22, 123–130 (2024), https://doi.org/10.15407/apmm2024.22.123-130 Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2024-12-30 Article Article http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.123-130 10.15407/apmm2024.22.123-130 Prykladni Problemy Mekhaniky i Matematyky; Том 22 (2024); 123-130 Прикладні проблеми механіки і математики; Том 22 (2024); 123-130
institution Prykladni Problemy Mekhaniky i Matematyky
baseUrl_str
datestamp_date 2025-07-17T21:43:13Z
collection OJS
topic УДК 512.6
spellingShingle УДК 512.6
Raievska, I. Yu.; Інститут математики НАН України, Київ
On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings
topic_facet nearring
local nearring
Miller–Moreno group
UDC 512.6
УДК 512.6
format Article
author Raievska, I. Yu.; Інститут математики НАН України, Київ
author_facet Raievska, I. Yu.; Інститут математики НАН України, Київ
author_sort Raievska, I. Yu.; Інститут математики НАН України, Київ
title On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings
title_short On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings
title_full On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings
title_fullStr On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings
title_full_unstemmed On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings
title_sort on direct products of metacyclic miller–moreno p-groups and cyclic p-groups as additive groups of local nearrings
title_alt On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings
description A finite group is called a Miller–Moreno group if it is non-abelian and all its proper subgroups are abelian. The direct products of Miller–Moreno p-groups and cyclic p-groups as additive groups of nearrings with identity and local nearrings are considered. Cite as: I. Yu. Raievska, “On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings,” Prykl. Probl. Mekh. Mat., Issue 22, 123–130 (2024), https://doi.org/10.15407/apmm2024.22.123-130
publisher Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
publishDate 2024
url http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.123-130
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