Functional representations of semirings.
In the paper, the author develops the theory of sheaf representations of semirings. The considered classes of semirings are those of symmetric semirings, reduced semirings, Gelfand semirings, regular semirings, Rickart semirings. After presenting the general theory of functional representations of semirings, the author gives the structural representations of semirings and semimodules, more precisely the representations of semimodules by sections of sheaves, representations of Rickart semirings, representations of Abelian-regular positive semirings and applies them to Gelfand semirings and Mulvey duality.
scientific article; zbMATH DE number 6157006
scientific article