This book provides an introduction to the algebraic theory of
semirings and, in this context, to basic algebraic concepts as e.g.
semigroups, lattices and rings. It includes an algebraic theory of
infinite sums as well as a detailed treatment of several
applications in theoretical computer science. Complete proofs,
various examples and exercises (some of them with solutions) make
the book suitable for self-study. On the other hand, a more
experienced reader who looks for information about the most common
concepts and results on semirings will find cross-references
throughout the book, a comprehensive bibliography and various hints
to it.
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