Right ordered groups:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
New York [u.a.]
Consultants Bureau
1996
|
| Series: | Siberian school of algebra and logic
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 250 S. |
| ISBN: | 0306110601 |
Staff View
MARC
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| 246 | 1 | 3 | |a Right-ordered groups |
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Record in the Search Index
| _version_ | 1804125609533636608 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1.1. Partially Ordered Sets 1
1.2. Lattices 4
1.3. Properties of Lattices 7
1.4. Orders on Groups 12
1.5. Positive Cones 15
1.6. Basic Notions 19
Chapter 2. Systems of Convex Subgroups 29
2.1. General Properties 29
2.2. Archimedean Groups 33
2.3. Totally Ordered Groups 35
2.4. Conradian Groups 37
Chapter 3. Orderability Conditions 45
3.1. Semigroup Conditions 45
3.2. Sufficient Conditions 49
3.3. Group Conditions for Total Orderability 52
3.4. Groups of Automorphisms 57
3.5. Connection with Totally Ordered Groups 59
vii
viii Contents
3.6. Fully Orderable Groups 62
Chapter 4. Groups of Order Automorphisms 73
4.1. Preliminaries 73
4.2. Wreath Products 85
4.3. Order Types of Right Ordered Groups 97
4.4. The Chehata Groups and the Dlab Groups 100
4.5. Embeddings 113
Chapter 5. Relatively Convex Subgroups 121
5.1. Orderable Representations 121
5.2. A Finite Number of Right Orders 132
5.3. A Finite Number of Total Orders 142
5.4. Center of Right Ordered Groups 148
5.5. Criteria for Orderability 153
5.6. Centers of Small Subgroups 157
Chapter 6. Orders on Free Products 165
6.1. The Vinogradov Theorem 165
6.2. Free Products with Amalgamation 169
6.3. Right Orderable Groups with Amalgamation 178
Chapter 7. Quasivarieties 181
7.1. Properties of Quasivarieties 181
7.2. Model Theory 190
7.3. Axiomatic Rank 194
7.4. Locally Indicable Groups 200
7.5. The Local Indicability of Extensions 205
7.6. Lattice of Quasivarieties 207
Chapter 8. Semilinearly Ordered Groups 217
8.1. Definitions 218
8.2. Basic Properties 223
8.3. Convex Subgroups 226
8.4. Constructions 232
References 239
Subject Index 245
Author Index 249
|
| any_adam_object | 1 |
| author | Kopytov, Valerij M. Medvedev, Nikolaj Ja |
| author_facet | Kopytov, Valerij M. Medvedev, Nikolaj Ja |
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| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)34583980 (DE-599)BVBBV011116986 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011116986 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:04:17Z |
| institution | BVB |
| isbn | 0306110601 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007449585 |
| oclc_num | 34583980 |
| open_access_boolean | |
| owner | DE-739 DE-12 DE-20 |
| owner_facet | DE-739 DE-12 DE-20 |
| physical | IX, 250 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Consultants Bureau |
| record_format | marc |
| series2 | Siberian school of algebra and logic |
| spelling | Kopytov, Valerij M. Verfasser aut Right ordered groups Valerii M. Kopytov and Nikolai Ya. Medvedev Right-ordered groups New York [u.a.] Consultants Bureau 1996 IX, 250 S. txt rdacontent n rdamedia nc rdacarrier Siberian school of algebra and logic Ordered groups Geordnete Gruppe (DE-588)4156745-6 gnd rswk-swf Geordnete Gruppe (DE-588)4156745-6 s DE-604 Medvedev, Nikolaj Ja. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007449585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kopytov, Valerij M. Medvedev, Nikolaj Ja Right ordered groups Ordered groups Geordnete Gruppe (DE-588)4156745-6 gnd |
| subject_GND | (DE-588)4156745-6 |
| title | Right ordered groups |
| title_alt | Right-ordered groups |
| title_auth | Right ordered groups |
| title_exact_search | Right ordered groups |
| title_full | Right ordered groups Valerii M. Kopytov and Nikolai Ya. Medvedev |
| title_fullStr | Right ordered groups Valerii M. Kopytov and Nikolai Ya. Medvedev |
| title_full_unstemmed | Right ordered groups Valerii M. Kopytov and Nikolai Ya. Medvedev |
| title_short | Right ordered groups |
| title_sort | right ordered groups |
| topic | Ordered groups Geordnete Gruppe (DE-588)4156745-6 gnd |
| topic_facet | Ordered groups Geordnete Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007449585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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