On Rickart and Baer Semimodules
摘要
This chapter generalizes the Rickart (resp., Baer) property on semirings and semimodules. We introduce weak Rickart (resp., Baer ) semimodules and then identify i-Rickart semimodules as a specific subclass of the former. Basic links between the different Baer and Rickart semimodules are discussed. A characterization of the Rickart semimodules by their endomorphism semiring is provided.