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.
An introduction to the algebraic theory of semirings, including a treatment of some applications in theoretical computer science. The focus is on the general concepts and statements of the algebraic theory of semirings and those aspects of the theory which are needed for the aforementioned applications. The book also deals with a concept of semirings that includes commutativity of addition, as is usually done for rings.
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Condición: New. InhaltsverzeichnisBasic concepts extensions of semirings partially-ordered semirings semirings with infinite sums semialgebras semigroup semirings and semirings of formal power series.KlappentextrnrnThis book pro. Nº de ref. del artículo: 909655998
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