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Titlebook: Semirings and their Applications; Jonathan S. Golan Book 1999 Springer Science+Business Media Dordrecht 1999 Algebra.Computer.computer sci

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书目名称Semirings and their Applications
编辑Jonathan S. Golan
视频videohttp://file.papertrans.cn/866/865016/865016.mp4
图书封面Titlebook: Semirings and their Applications;  Jonathan S. Golan Book 1999 Springer Science+Business Media Dordrecht 1999 Algebra.Computer.computer sci
描述There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. - Nikolai Ivanovich Lobatchevsky This book is an extensively-revised and expanded version of "The Theory of Semirings, with Applicationsin Mathematics and Theoretical Computer Science" [Golan, 1992], first published by Longman. When that book went out of print, it became clear - in light of the significant advances in semiring theory over the past years and its new important applications in such areas as idempotent analysis and the theory of discrete-event dynamical systems - that a second edition incorporating minor changes would not be sufficient and that a major revision of the book was in order. Therefore, though the structure of the first «dition was preserved, the text was extensively rewritten and substantially expanded. In particular, references to many interesting and applications of semiring theory, developed in the past few years, had to be added. Unfortunately, I find that it is best not to go into these applications in detail, for that would entail long digressions into various domains of pure and applied mathematics which would only detract from the u
出版日期Book 1999
关键词Algebra; Computer; computer science; dynamische Systeme; formal language; linear algebra; optimization; rin
版次1
doihttps://doi.org/10.1007/978-94-015-9333-5
isbn_softcover978-90-481-5252-0
isbn_ebook978-94-015-9333-5
copyrightSpringer Science+Business Media Dordrecht 1999
The information of publication is updating

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Euclidean Semirings, all . ∈ ., it is clearly true that . ∈ .(.) if and only if (math). Note that if . is a simple semiring and if . ∈ . then there exists an element r of . such that . and so, by Proposition 4.3, we have .. Thus we see that if . is an element of a simple semiring . then . ≠ Ø implies that . ∈ ..
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Morphisms of Semirings,If . and . are semirings then a function . is a . if and only if: .; ..
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