عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
شابک
شابک
9789048152520
شابک
9789401593335
شماره کتابشناسی ملی
شماره
b408402
عنوان و نام پديدآور
عنوان اصلي
Semirings and their 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
1999.
یادداشتهای مربوط به مندرجات
متن يادداشت
1. Hemirings and semirings: definitions and examples -- 2. Sets and relations with values in a semiring -- 3. Building new semirings from old -- 4. Some conditions on semirings -- 5. Complemented elements in semirings -- 6. Ideals in semirings -- 7. Prime and semiprime ideals in semirings -- 8. Factor semirings -- 9. Morphisms of semirings -- 10. Kernels of morphisms -- 11. Semirings of fractions -- 12. Euclidean semirings -- 13. Additively-regular semirings -- 14. Semimodules over semirings -- 15. Factor semimodules -- 16. Some constructions for semimodules -- 17. Free, projective, and injective semimodules -- 18. Localization of semimodules -- 19. Linear algebra over a semiring -- 20. Partially-ordered semirings -- 21. Lattice-ordered semirings -- 22. Complete semirings -- 23. Complete semimodules -- 24. CLO-semirings -- 25. Fixed points of affine maps -- References -- Index of applications -- Index of terminology.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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 {laquo}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 unity of the volume and increase its length considerably. However, I have tried to provide an extensive collection of examples to arouse the reader's interest in applications, as well as sufficient citations to allow the interested reader to locate them. For the reader's convenience, an index to these citations is given at the end of the book .
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9789048152520
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.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Golan, Jonathan S.
نام تنالگان _ (مسئولیت معنوی برابر)
مستند نام تنالگان تاييد نشده
SpringerLink (Online service)
مبدا اصلی
تاريخ عمليات
20190307161900.0
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
