Some results on MP-injectivity and MGP-injectivity of rings and modules
We study MP-injective rings and MGP-injective rings satisfying some additional conditions. Using the concepts of MP-injectivity and MGP-injectivity of rings and modules, we present some new characterizations of QF-rings, semisimple Artinian rings, strongly regular rings, and simple Artinian rings. В...
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| Published in: | Український математичний журнал |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/166387 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Some results on MP-injectivity and MGP-injectivity of rings and modules / Zhanmin Zhu // Український математичний журнал. — 2011. — Т. 63, № 10. — С. 1426–1433. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We study MP-injective rings and MGP-injective rings satisfying some additional conditions. Using the concepts of MP-injectivity and MGP-injectivity of rings and modules, we present some new characterizations of QF-rings, semisimple Artinian rings, strongly regular rings, and simple Artinian rings.
Вивчаються MP-iн’єктивнi та MGP-iн’єктивнi кiльця, що задовольняють деякi додатковi умови. Iз застосуванням понять MP-iн’єктивностi та MGP-iн’єктивностi кiлець та модулiв наведено новi характеризацiї QF-кiлець, напiвпростих кiлець Артiна, сильно регулярних кiлець та простих кiлець Артiна.
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| ISSN: | 1027-3190 |