Multiserial rings
We introduce the notion of multiserial (n-serial) rings and study their properties. The second-order minors of such rings are investigated. We also find all possible forms of quivers for Noetherian and hereditaryn-serial rings and describe the structure of semiprime and hereditaryn-serial rings.
Збережено в:
| Дата: | 1996 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1996
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5237 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511456104022016 |
|---|---|
| author | Kirichenko, V. V. Yaremenko, Yu. V. Кириченко, В. В. Яременко, Ю. В. Кириченко, В. В. Яременко, Ю. В. |
| author_facet | Kirichenko, V. V. Yaremenko, Yu. V. Кириченко, В. В. Яременко, Ю. В. Кириченко, В. В. Яременко, Ю. В. |
| author_sort | Kirichenko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:28:19Z |
| description | We introduce the notion of multiserial (n-serial) rings and study their properties. The second-order minors of such rings are investigated. We also find all possible forms of quivers for Noetherian and hereditaryn-serial rings and describe the structure of semiprime and hereditaryn-serial rings. |
| first_indexed | 2026-03-24T03:13:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5237 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:11Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/21/7cc8a77acb38b41b553fdc7f40524721.pdf |
| spelling | umjimathkievua-article-52372020-03-18T21:28:19Z Multiserial rings Многорядные кольца Kirichenko, V. V. Yaremenko, Yu. V. Кириченко, В. В. Яременко, Ю. В. Кириченко, В. В. Яременко, Ю. В. We introduce the notion of multiserial (n-serial) rings and study their properties. The second-order minors of such rings are investigated. We also find all possible forms of quivers for Noetherian and hereditaryn-serial rings and describe the structure of semiprime and hereditaryn-serial rings. Введено многорядні ($n$-рядні) кільця та розглянуто їх властивості. Вивчено міyори 2-го порядку таких кілець. Наведено вигляд сагайдаків нетерових та спадкових $n$-рядних кілець. Описано будову иавіппервииних та спадкових $n$-рядних кілець. Institute of Mathematics, NAS of Ukraine 1996-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5237 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 9 (1996); 1223–1235 Український математичний журнал; Том 48 № 9 (1996); 1223–1235 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5237/7168 https://umj.imath.kiev.ua/index.php/umj/article/view/5237/7169 Copyright (c) 1996 Kirichenko V. V.; Yaremenko Yu. V. |
| spellingShingle | Kirichenko, V. V. Yaremenko, Yu. V. Кириченко, В. В. Яременко, Ю. В. Кириченко, В. В. Яременко, Ю. В. Multiserial rings |
| title | Multiserial rings |
| title_alt | Многорядные кольца |
| title_full | Multiserial rings |
| title_fullStr | Multiserial rings |
| title_full_unstemmed | Multiserial rings |
| title_short | Multiserial rings |
| title_sort | multiserial rings |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5237 |
| work_keys_str_mv | AT kirichenkovv multiserialrings AT yaremenkoyuv multiserialrings AT kiričenkovv multiserialrings AT âremenkoûv multiserialrings AT kiričenkovv multiserialrings AT âremenkoûv multiserialrings AT kirichenkovv mnogorâdnyekolʹca AT yaremenkoyuv mnogorâdnyekolʹca AT kiričenkovv mnogorâdnyekolʹca AT âremenkoûv mnogorâdnyekolʹca AT kiričenkovv mnogorâdnyekolʹca AT âremenkoûv mnogorâdnyekolʹca |