Let $T$ be the localization $\mathbb Z[i]_{(2-i)}$. This is a subring of $\mathbb Q[i]$. Let $S$ be the skew power series $\mathbb Q[i][x;\sigma]$ where $\sigma$ is complex conjugation, so that $\alpha x=x\bar\alpha$. The ring $R$ is the subring of $S$ whose constant terms lie in $T$.

Keywords power series ring subring twisted (skew) polynomial ring

- G. Puninski. Projective modules over the endomorphism ring of a biuniform module. (2004) @ Section 7 p 18

Symmetric properties

Asymmetric properties

Legend

- = has the property
- = does not have the property
- = information not in database

(Nothing was retrieved.)

Name | Description |
---|---|

Idempotents | $\{0,1\}$ |

Left singular ideal | $\{0\}$ |

Left socle | $\{0\}$ |

Nilpotents | $\{0\}$ |

Right singular ideal | $\{0\}$ |

Right socle | $\{0\}$ |

Zero divisors | $\{0\}$ |