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 |
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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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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 |
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Prykladni Problemy Mekhaniky i Matematyky |
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2025-07-17T21:43:13Z |
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УДК 512.6 |
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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 |
work_keys_str_mv |
AT raievskaiyuínstitutmatematikinanukraínikiív ondirectproductsofmetacyclicmillermorenopgroupsandcyclicpgroupsasadditivegroupsoflocalnearrings |
first_indexed |
2025-07-22T19:23:34Z |
last_indexed |
2025-07-22T19:23:34Z |
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