# On Coprime Modules and Comodules

@article{Wijayanti2009OnCM, title={On Coprime Modules and Comodules}, author={Indah Emilia Wijayanti and Robert Wisbauer}, journal={Communications in Algebra}, year={2009}, volume={37}, pages={1308 - 1333} }

Many observations about coalgebras were inspired by comparable situations for algebras. Despite the prominent role of prime algebras, the theory of a corresponding notion for coalgebras was not well understood so far. Coalgebras C over fields may be called coprime provided the dual algebra C* is prime. This definition, however, is not intrinsic—it strongly depends on the base ring being a field. The purpose of the article is to provide a better understanding of related notions for coalgebras…

## 33 Citations

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