Let R be a ring and let Ω_R be the set of maximal right ideals of R. An R-module M is called an sd-Rickart module if, for every nonzero endomorphism f of M, Imf is a fully invariant direct summand of M. We obtain a characterization for an arbitrary direct sum of sd-Rickart modules to be sd-Rickart. We also obtain a decomposition of an sd-Rickart R-module M provided that R is a commutative Noetherian ring and Ass(M) ∩ Ω_R is a finite set. In addition, we introduce and study a generalization of sd-Rickart modules.

中文翻译：

---

关于一类双重Rickart模块

让- [R是一个环，让Ω _[R是集合的极大右理想R.的[R -模中号被称为SD-Rickart模块如果，每一个非零同态˚F的男，林˚F是一个完全不变的直和项M.我们获得了sd-Rickart的sd-Rickart模块的任意直接和的特征。我们还获得一个SD-Rickart的分解- [R -模中号条件是- [R是一个可交换诺特环和驴（中号）∩Ω _ř是一个有限集。另外，我们介绍和研究sd-Rickart模块的推广。