Reflexive properties of rings determined by idempotents
UDC 512.5 We study the reflexive properties of rings determined by idempotents in a more general setting. А new concept named right $e$-reflexive rings is defined and studied. This is a generalization of reflexive rings and right $e$-reversible rings. Some necessary examples and counterexamples are...
Збережено в:
| Дата: | 2026 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8537 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 512.5
We study the reflexive properties of rings determined by idempotents in a more general setting. А new concept named right $e$-reflexive rings is defined and studied. This is a generalization of reflexive rings and right $e$-reversible rings. Some necessary examples and counterexamples are given. Furthermore, we consider the restriction of the right $e$-reflexivity to nilpotent elements, which strictly contains the classes of reflexive rings and right $e$-reflexive rings. Some well-known results on reflexive rings are unified and extended. |
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| DOI: | 10.3842/umzh.v77i6.8537 |