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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Commutative weakly invo-clean group rings
Peter V. Danchev Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
Аннотация:
A ring $R$ is called weakly invo-clean if any its element is the sum or the difference of an involution and an idempotent. For each commutative unital ring $R$ and each abelian group $G$, we find only in terms of $R$, $G$ and their sections a necessary and sufficient condition when the group ring $R[G]$ is weakly invo-clean. Our established result parallels to that due to Danchev-McGovern published in J. Algebra (2015) and proved for weakly nil-clean rings.
Ключевые слова:
invo-clean rings, weakly invo-clean rings, group rings.
Образец цитирования:
Peter V. Danchev, “Commutative weakly invo-clean group rings”, Ural Math. J., 5:1 (2019), 48–52
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj73 https://www.mathnet.ru/rus/umj/v5/i1/p48
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Страница аннотации: | 168 | PDF полного текста: | 83 | Список литературы: | 19 |
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