Consider the semigroup $S=\{a,b\}$ with $a^2=ab=a$,$b^2=ba=b$. Make the semigroup ring $T=F_2[S]$. Make the Dorroh extension $T'=D(\mathbb Z,T)$. $T'$ is the ring.

Keywords Dorroh extension

- G. Marks. Reversible and symmetric rings. (2002) @ Example 2, p 313

Symmetric properties

Asymmetric properties

Legend

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

Name | Measure | |
---|---|---|

cardinality | $\aleph_0$ | |

composition length | left: $\infty$ | right: $\infty$ |

(Nothing was retrieved.)