A guide to the literature on semirings and their applications in mathematics and information sciences: with complete bibliography
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht u.a.
Kluwer Acad. Publ.
2002
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | VIII, 392 S. |
| ISBN: | 1402007175 |
Internformat
MARC
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| 100 | 1 | |a Glazek, Kazimierz |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A guide to the literature on semirings and their applications in mathematics and information sciences |b with complete bibliography |c by Kazimierz Głazek |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer Acad. Publ. |c 2002 | |
| 300 | |a VIII, 392 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Semirings (Mathematics) |v Bibliography | |
| 650 | 0 | 7 | |a Halbring |0 (DE-588)4123331-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4006432-3 |a Bibliografie |2 gnd-content | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-014924777 | ||
Datensatz im Suchindex
| _version_ | 1804135547353956352 |
|---|---|
| adam_text | Contents
Preface
..................................................................
vii
PART I: SHORT GUIDE TO THE LITERATURE
ON SEMIRINGS
....................................................1
Introduction
........................................................3
1
Preliminaries
.......................................................7
2
The Algebraic Theory of Semirings
.............................11
2.1
Homomorphisms; congruences; ideals and radicals
...............11
2.2
Additive or multiplicative regularity;
inversive
semirings
........14
2.3
Extensions; semirings of differences or quotients; semifields
......15
2.4
Polynomials; formal power series;
some constructions of semirings
.................................17
2.5
Special kinds (classes) of semirings
..............................19
2.6
Number semirings in theoretical arithmetic
and number theory
.............................................21
3
Linear Algebra Over Semirings
..................................25
3.1
Semimodules; semialgebras
.....................................25
3.2
Linear equations over semirings; closed semirings;
applications
....................................................28
3.3
Matrix semirings and matrices over semirings
...................36
4
Ordered Structures and Semirings
..............................43
4.1
Lattice-ordered groups and related topics
.......................43
4.2
Semilattice-
and lattice-ordered semigroups;
multiplicative lattices; quantales
................................47
4.3
Semirings as reducts of some other (e.g., ordered) algebras
......53
4.4
Semirings in some generalizations of lattices
....................55
4.5
Semirings in algebraic logic with applications
...................58
4.6
Ordered semirings
..............................................65
5
Selected Applications of Semirings
..............................67
5.1
Semirings in geometrical and topological investigations;
connections to the theory of categories
..........................67
5.2
Semirings in modern analysis, measure theory;
idempotent analysis; differential equations; optimization
........71
5.3
More about optimization, discrete event systems,
and semirings with idempotent addition
........................79
5.4
Semirings and seminearrings in the process algebras
and related topics
..............................................82
5.5
Semirings in automata theory
and the theory of formal languages
.............................84
PART II: BIBLIOGRAPHY
..........................................89
A
......................................................................91
В
.....................................................................104
С.....................................................................
139
Bi
.....................................................................159
E
.....................................................................175
F
.....................................................................180
G
.....................................................................188
H
.....................................................................209
I
.....................................................................226
J.....................................................................
228
К
.....................................................................236
L
.....................................................................256
M
....................................................................267
N
.....................................................................291
О
.....................................................................296
P
.....................................................................298
ą
.....................................................................311
1.....................................................................312
S
.....................................................................324
T
.....................................................................345
U
.....................................................................351
V
.....................................................................352
W....................................................................
357
X
.....................................................................368
Y
.....................................................................369
Ћ
.....................................................................371
INDEX
..............................................................377
|
| adam_txt |
Contents
Preface
.
vii
PART I: SHORT GUIDE TO THE LITERATURE
ON SEMIRINGS
.1
Introduction
.3
1
Preliminaries
.7
2
The Algebraic Theory of Semirings
.11
2.1
Homomorphisms; congruences; ideals and radicals
.11
2.2
Additive or multiplicative regularity;
inversive
semirings
.14
2.3
Extensions; semirings of differences or quotients; semifields
.15
2.4
Polynomials; formal power series;
some constructions of semirings
.17
2.5
Special kinds (classes) of semirings
.19
2.6
Number semirings in theoretical arithmetic
and number theory
.21
3
Linear Algebra Over Semirings
.25
3.1
Semimodules; semialgebras
.25
3.2
Linear equations over semirings; closed semirings;
applications
.28
3.3
Matrix semirings and matrices over semirings
.36
4
Ordered Structures and Semirings
.43
4.1
Lattice-ordered groups and related topics
.43
4.2
Semilattice-
and lattice-ordered semigroups;
multiplicative lattices; quantales
.47
4.3
Semirings as reducts of some other (e.g., ordered) algebras
.53
4.4
Semirings in some generalizations of lattices
.55
4.5
Semirings in algebraic logic with applications
.58
4.6
Ordered semirings
.65
5
Selected Applications of Semirings
.67
5.1
Semirings in geometrical and topological investigations;
connections to the theory of categories
.67
5.2
Semirings in modern analysis, measure theory;
idempotent analysis; differential equations; optimization
.71
5.3
More about optimization, discrete event systems,
and semirings with idempotent addition
.79
5.4
Semirings and seminearrings in the process algebras
and related topics
.82
5.5
Semirings in automata theory
and the theory of formal languages
.84
PART II: BIBLIOGRAPHY
.89
A
.91
В
.104
С.
139
Bi
.159
E
.175
F
.180
G
.188
H
.209
I
.226
J.
228
К
.236
L
.256
M
.267
N
.291
О
.296
P
.298
ą
.311
1.312
S
.324
T
.345
U
.351
V
.352
W.
357
X
.368
Y
.369
Ћ
.371
INDEX
.377 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:20:27Z |
| indexdate | 2024-07-09T20:42:14Z |
| institution | BVB |
| isbn | 1402007175 |
| language | English |
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| spelling | Glazek, Kazimierz Verfasser aut A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography by Kazimierz Głazek Dordrecht u.a. Kluwer Acad. Publ. 2002 VIII, 392 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Semirings (Mathematics) Bibliography Halbring (DE-588)4123331-1 gnd rswk-swf (DE-588)4006432-3 Bibliografie gnd-content Halbring (DE-588)4123331-1 s DE-604 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014924777&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Glazek, Kazimierz A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography Semirings (Mathematics) Bibliography Halbring (DE-588)4123331-1 gnd |
| subject_GND | (DE-588)4123331-1 (DE-588)4006432-3 |
| title | A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography |
| title_auth | A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography |
| title_exact_search | A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography |
| title_exact_search_txtP | A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography |
| title_full | A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography by Kazimierz Głazek |
| title_fullStr | A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography by Kazimierz Głazek |
| title_full_unstemmed | A guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography by Kazimierz Głazek |
| title_short | A guide to the literature on semirings and their applications in mathematics and information sciences |
| title_sort | a guide to the literature on semirings and their applications in mathematics and information sciences with complete bibliography |
| title_sub | with complete bibliography |
| topic | Semirings (Mathematics) Bibliography Halbring (DE-588)4123331-1 gnd |
| topic_facet | Semirings (Mathematics) Bibliography Halbring Bibliografie |
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