Semirings. Algebraic theory and applications in computer science. Transl. from the German. (English) Zbl 0934.16046

Hebisch, U.; Weinert, H. J.

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)

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