Let $a,b$ be generators for the module satisfying the following relations (with $X,Y$ the images of $x,y$ in $R=F_2[x,y]/(x,y)^2$): $aY=bX=0$ and $aX=bY$. This produces a module $M$ which is a 3-dimensional $F_2$ space spanned by $\{a,b,aX\}$.

- H. C. Hutchins. Examples of commutative rings. (1981) @ p 173

Known Properties

Legend

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

(Nothing was retrieved.)

(Nothing was retrieved.)