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COMMUTATIVE WEAKLY INVO–CLEAN GROUP RINGS
| Content Provider | Directory of Open Access Journals (DOAJ) |
|---|---|
| Author | Peter V. Danchev |
| Abstract | 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. |
| Related Links | https://umjuran.ru/index.php/umj/article/view/139 |
| DOI | 10.15826/umj.2019.1.005 |
| Journal | Ural Mathematical Journal |
| Issue Number | 1 |
| Volume Number | 5 |
| e-ISSN | 24143952 |
| Language | English |
| Publisher | Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. |
| Publisher Date | 2019-01-01 |
| Publisher Place | Russian Federation |
| Access Restriction | Open |
| Subject Keyword | Mathematics Invo-clean Rings, Weakly Invo-clean Rings, Group Rings |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
