Let $R⋉M$ be a trivial extension of a ring $R$ by an $R$-$R$-bimodule $M$. We first study the properties of pure projective and pure injective modules over $R⋉M$. Then we characterize $FP$-injective modules over $R⋉M$. Finally some applications are given to Morita context rings.

中文翻译：

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简单环扩展上的纯射影、纯内射和 FP 内射模块

让$右⋉\mathrm{中号}$是一个环的简单延伸$右$由一个$右$-$右$-双模块$\mathrm{中号}$。我们首先研究纯射影和纯射射模的性质$右⋉\mathrm{中号}$。然后我们表征$F磷$- 内射模块$右⋉\mathrm{中号}$。最后给出了Morita上下文环的一些应用。