|
|
|
|
| LEADER |
00000nam a22000005i 4500 |
| 001 |
b3217424 |
| 003 |
MWH |
| 005 |
20191220130646.0 |
| 007 |
cr nn 008mamaa |
| 008 |
130409s1999 ne | s |||| 0|eng d |
| 020 |
|
|
|a 9789401593335
|
| 024 |
7 |
|
|a 10.1007/978-94-015-9333-5
|2 doi
|
| 035 |
|
|
|a (DE-He213)978-94-015-9333-5
|
| 050 |
|
4 |
|a E-Book
|
| 072 |
|
7 |
|a PBF
|2 bicssc
|
| 072 |
|
7 |
|a MAT002000
|2 bisacsh
|
| 072 |
|
7 |
|a PBF
|2 thema
|
| 100 |
1 |
|
|a Golan, Jonathan S.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 245 |
1 |
0 |
|a Semirings and their Applications
|h [electronic resource] /
|c by Jonathan S. Golan.
|
| 250 |
|
|
|a 1st ed. 1999.
|
| 264 |
|
1 |
|a Dordrecht :
|b Springer Netherlands :
|b Imprint: Springer,
|c 1999.
|
| 300 |
|
|
|a XII, 382 p.
|b online resource.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
|
|
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
|
|a Springer eBook Collection
|
| 505 |
0 |
|
|a 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.
|
| 520 |
|
|
|a 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 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 .
|
| 590 |
|
|
|a Loaded electronically.
|
| 590 |
|
|
|a Electronic access restricted to members of the Holy Cross Community.
|
| 650 |
|
0 |
|a Algebra.
|
| 650 |
|
0 |
|a Associative rings.
|
| 650 |
|
0 |
|a Rings (Algebra).
|
| 650 |
|
0 |
|a Ordered algebraic structures.
|
| 650 |
|
0 |
|a Calculus of variations.
|
| 650 |
|
0 |
|a Computer science—Mathematics.
|
| 650 |
|
0 |
|a Mathematical logic.
|
| 690 |
|
|
|a Electronic resources (E-books)
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer eBooks
|
| 830 |
|
0 |
|a Springer eBook Collection.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/978-94-015-9333-5
|3 Click to view e-book
|t 0
|
| 907 |
|
|
|a .b3217424x
|b 04-18-22
|c 02-26-20
|
| 998 |
|
|
|a he
|b 02-26-20
|c m
|d @
|e -
|f eng
|g ne
|h 0
|i 1
|
| 912 |
|
|
|a ZDB-2-SMA
|
| 912 |
|
|
|a ZDB-2-BAE
|
| 950 |
|
|
|a Mathematics and Statistics (Springer-11649)
|
| 902 |
|
|
|a springer purchased ebooks
|
| 903 |
|
|
|a SEB-COLL
|
| 945 |
|
|
|f - -
|g 1
|h 0
|j - -
|k - -
|l he
|o -
|p $0.00
|q -
|r -
|s b
|t 38
|u 0
|v 0
|w 0
|x 0
|y .i21305894
|z 02-26-20
|
| 999 |
f |
f |
|i 827557a8-4ec2-5bbf-9868-827d7c744522
|s fb3194e7-6eb0-5f1a-9409-041ac71d24a3
|t 0
|
| 952 |
f |
f |
|p Online
|a College of the Holy Cross
|b Main Campus
|c E-Resources
|d Online
|t 0
|e E-Book
|h Library of Congress classification
|i Elec File
|