Power Algebras over Semirings: With Applications in Mathematics and Computer Science

Preface. Some (hopefully) motivating examples. 0. Background material. 1. Powers of a semiring. 2. Relations with values in a semiring. 3. Change of base semirings. 4. Convolutions. 5. Semiring-valued subsemigroups and submonoids. 6. Semiring-valued groups. 7. Semiring-valued submodules and subspaces. 8. Semiring-ideals in semirings and rings. References. Index.