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Semiartinian Profinite Algebras have Nilpotent Jacobson Radical
| Content Provider | Semantic Scholar |
|---|---|
| Author | Iovanov, Miodrag Cristian |
| Copyright Year | 2014 |
| Abstract | We give a method to study the finiteness of the coradical filtration of a coalgebra; as a consequence, we show that a left semiartinian profinite algebra has nilpotent Jacobson radical and is right semiartinian too. Equivalently, we show that a for a semilocal profinite algebra, T-nilpotence implies nilpotence for the Jacobson radical. This answers two open questions from Iovanov et al. (J Algebra 320(5):2144–2155, 2008). |
| Starting Page | 1145 |
| Ending Page | 1154 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10468-013-9438-7 |
| Volume Number | 17 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1512.09338v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10468-013-9438-7 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
