Introduction to the theory of abstract algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY [u.a.]
Holt, Rinehart and Winston
1968
|
| Series: | Athena Series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 148 Seiten graph. Darst. |
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| 245 | 1 | 0 | |a Introduction to the theory of abstract algebras |c Richard S. Pierce |
| 264 | 1 | |a New York, NY [u.a.] |b Holt, Rinehart and Winston |c 1968 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface v
Introduction: Set Theory l
1. Introduction and Notation 1
2. Mappings 3
3. Well Ordered Sets 6
4. Ordinal Numbers 8
5. Cardinal Numbers 11
Notes 14
I Basic Concepts 15
1. Algebras and Relational Systems 15
2. Homomorphisms 20
3. Congruence Relations 24
4. Subalgebras 28
5. Direct Products 32
6. Closure Properties of Classes of Algebras 36
Problems 38
Notes 41
1 Subdirect Decompositions 42
1. Subdirect Decompositions 42
2. Lattices 44
3. The Subdirect Decomposition Theorem 50
4. Applications 52
Problems 56
Notes 64
vii
Vlii CONTENTS
3 Direct Decompositions 65
1. Interdirect Decompositions 65
2. Independence in Modular Lattices 70
3. Finite Dimensional Modular Lattices 75
4. Ore s Theorem 78
Problems 84
Notes 97
4 Free Algebras 98
1. Free Extensions 98
2. Free Sums 103
3. Injective Completeness 107
Problems 111
Notes U7
5 Varieties of Algebras 119
1. Word Algebras 119
2. Birkhoff s Theorem 124
3. The Generation of Varieties 128
Problems 132
Notes 139
Bibliography 141
Symbols 145
Index 147
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:24:33Z |
| institution | BVB |
| language | English |
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| physical | VIII, 148 Seiten graph. Darst. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
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| publisher | Holt, Rinehart and Winston |
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| series2 | Athena Series |
| spelling | Pierce, Richard Scott Verfasser aut Introduction to the theory of abstract algebras Richard S. Pierce New York, NY [u.a.] Holt, Rinehart and Winston 1968 VIII, 148 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Athena Series Algebraïsche structuren gtt Algèbre abstraite Algebra, Abstract Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008312659&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pierce, Richard Scott Introduction to the theory of abstract algebras Algebraïsche structuren gtt Algèbre abstraite Algebra, Abstract Universelle Algebra (DE-588)4061777-4 gnd |
| subject_GND | (DE-588)4061777-4 |
| title | Introduction to the theory of abstract algebras |
| title_auth | Introduction to the theory of abstract algebras |
| title_exact_search | Introduction to the theory of abstract algebras |
| title_full | Introduction to the theory of abstract algebras Richard S. Pierce |
| title_fullStr | Introduction to the theory of abstract algebras Richard S. Pierce |
| title_full_unstemmed | Introduction to the theory of abstract algebras Richard S. Pierce |
| title_short | Introduction to the theory of abstract algebras |
| title_sort | introduction to the theory of abstract algebras |
| topic | Algebraïsche structuren gtt Algèbre abstraite Algebra, Abstract Universelle Algebra (DE-588)4061777-4 gnd |
| topic_facet | Algebraïsche structuren Algèbre abstraite Algebra, Abstract Universelle Algebra |
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