# Ring detail

## Name: Cozzens' simple V-domain

Description: Let $F$ be the algebraic closure of the field of two elements, and $F[t, \sigma]$ be the twisted polynomial ring with $\sigma$ is the automorphism $x\mapsto x^2$ on $F$. Finally, $R$ is the localization $F[t,\sigma]S^{-1}$ where $S$ is the set of nonnegative powers of $t$.

Notes: Has a unique simple right $R$ module (up to isomorphism)

Keywords localization twisted (skew) ring

Reference(s):

• J. H. Cozzens. Homological properties of the ring of differential polynomials. (1970) @ Section 2

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Name Measure
cardinality $\aleph_0$

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