Hebisch, U.; Weinert, H. J. Semirings. Algebraic theory and applications in computer science. Transl. from the German. (English) Zbl 0934.16046 Series in Algebra. 5. Singapore: World Scientific Publishing. viii, 361 p. (1998). The first edition of this book, written in German, has appeared in 1993 by B. G. Teubner, Stuttgart [Zbl 0829.16035]. In this English version the authors clearly have corrected minor mistakes or errors and also included some improvements of the presentation. Reviewer: B.Pondělíček (Praha) Cited in 1 ReviewCited in 105 Documents MSC: 16Y60 Semirings 16-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras 06F25 Ordered rings, algebras, modules 12K10 Semifields 40J05 Summability in abstract structures 20M25 Semigroup rings, multiplicative semigroups of rings 16S36 Ordinary and skew polynomial rings and semigroup rings 68Q70 Algebraic theory of languages and automata 20M35 Semigroups in automata theory, linguistics, etc. Keywords:partially ordered semirings; semigroups; introductory text; bibliography; semirings; semifields; polynomial semirings; semifields of quotients; semirings of quotients; semirings of differences; semimodules; formal languages; semialgebras over semirings; semirings of power series Citations:Zbl 0829.16035 PDF BibTeX XML Cite \textit{U. Hebisch} and \textit{H. J. Weinert}, Semirings. Algebraic theory and applications in computer science. Transl. from the German. Singapore: World Scientific Publishing (1998; Zbl 0934.16046) OpenURL