Ring $R_{ 154 }$

Nonlocal endomorphism ring of a uniserial module


Let $V_1=\mathbb Z[i]_{(2-i)}$ and $V_2=\mathbb Z[i]_{(2+i)}$ and $V=V_1\cap V_2$. The ring is $\begin{bmatrix}\bar\alpha && x \\ 0 && \alpha\end{bmatrix}$ where $\alpha\in V$ and $x\in \mathbb Q[i]/V_1$. It is isomorphic to the endomorphism ring of module 12.

Keywords subring trivial extension


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

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Name Description
Idempotents $\{0,1\}$