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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| Формат: | Стаття |
| Мова: | Англійська |
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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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| Назва журналу: | Prykladni Problemy Mekhaniky i Matematyky |
Репозитарії
Prykladni Problemy Mekhaniky i Matematyky| _version_ | 1859471996918693888 |
|---|---|
| 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 |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2025-07-17T21:43:13Z |
| 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 |
| first_indexed | 2025-07-22T19:23:34Z |
| format | Article |
| id | journalsiapmmlvivua-article-3620 |
| institution | Prykladni Problemy Mekhaniky i Matematyky |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2025-07-22T19:23:34Z |
| publishDate | 2024 |
| publisher | Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine |
| record_format | ojs |
| 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 application/pdf 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 en http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.123-130/3727 |
| 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 |
| title | 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 |
| 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_short | 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 |
| topic | УДК 512.6 |
| topic_facet | nearring local nearring Miller–Moreno group UDC 512.6 УДК 512.6 |
| url | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.123-130 |
| work_keys_str_mv | AT raievskaiyuínstitutmatematikinanukraínikiív ondirectproductsofmetacyclicmillermorenopgroupsandcyclicpgroupsasadditivegroupsoflocalnearrings |