Semirings and Affine Equations over Them: Theory and Applications
نام عام مواد
[Book]
نام نخستين پديدآور
by Jonathan S. Golan.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Dordrecht :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
2003.
فروست
عنوان فروست
Mathematics and Its Applications ;
مشخصه جلد
556
یادداشتهای مربوط به مندرجات
متن يادداشت
1: Semirings -- 2: Partially-Ordered Semirings -- 3: Complete Semirings -- 4: Residuated Semirings -- 5: Matrix Semirings -- 6: Symmetric Extension of a Semiring -- 7: Semimodules -- 8: Homomorphisms between Semimodules -- 9: Affine Maps between Semimodules -- 10: Partially-ordered Semimodules -- 11: Eigenelements -- 12: Permanents and Determinants -- Index of Applications -- Index of Terminology.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Semiring theory stands with a foot in each of two mathematical domains. The first being abstract algebra and the other the fields of applied mathematics such as optimization theory, the theory of discrete-event dynamical systems, automata theory, and formal language theory, as well as from the allied areas of theoretical computer science and theoretical physics. Most important applications of semiring theory in these areas turn out to revolve around the problem of finding the equalizer of a pair of affine maps between two semimodules. In this volume, we chart the state of the art on solving this problem, and present many specific cases of applications. This book is essentially the third part of a trilogy, along with Semirings and their Applications, and Power Algebras over Semirings, both written by the same author and published by Kluwer Academic Publishers in 1999. While each book can be read independently of the others, to get the full force of the theory and applications one should have access to all three. This work will be of interest to academic and industrial researchers and graduate students. The intent of the book is to bring the applications to the attention of the abstract mathematicians and to make the abstract mathematics available to those who are using these tools in an ad-hoc manner without realizing the full force of the theory.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9789048163106
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebra.
موضوع مستند نشده
Computational complexity.
موضوع مستند نشده
Logic, Symbolic and mathematical.
موضوع مستند نشده
Mathematical optimization.
موضوع مستند نشده
Mathematics.
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