Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс:
http://hdl.handle.net/11701/17328
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Zilberbord, Igor M. | - |
dc.contributor.author | Sotnikov, Sergei V. | - |
dc.date.accessioned | 2020-04-10T12:33:07Z | - |
dc.date.available | 2020-04-10T12:33:07Z | - |
dc.date.issued | 2020-03 | - |
dc.identifier.citation | Zilberbord I.M., Sotnikov S.V. On a generalization of self-injective rings. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 1, pp. 60–68. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu01.2020.106 | - |
dc.identifier.uri | http://hdl.handle.net/11701/17328 | - |
dc.description.abstract | In this work the notion of left (right) self-injective ring is generalized. We consider rings that are direct sum of injective module and semisimple module as a left (respectively, right) module above itself. We call such rings left (right) semi-injective and research their properties with the help of two-sided Peirce decomposition of the ring. The paper contains the description of left Noetherian left semi-injective rings. It is proved that any such ring is a direct product of (two-sided) self-injective ring and several quotient rings (of special kind) of rings of upper-triangular matrices over skew fields. From this description it follows that for left semi-injective rings we have the analogue of the classical result for self-injective rings. Namely, if a ring is left Noetherian and left semi-injective then this ring is also right semi-injective and two-sided Artinian. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 1 | - |
dc.subject | injective module | en_GB |
dc.subject | semisimple module | en_GB |
dc.subject | self-injective ring | en_GB |
dc.subject | Peirce decomposition | en_GB |
dc.title | On a generalization of self-injective rings | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 1 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
---|---|---|---|---|
60-68.pdf | 290,85 kB | Adobe PDF | Просмотреть/Открыть |
Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.