Nilpotent rings:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Gordon and Breach
1969
|
| Schriftenreihe: | Notes on mathematics and its applications
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 127 S. Ill. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002952672 | ||
| 003 | DE-604 | ||
| 005 | 19980223 | ||
| 007 | t | ||
| 008 | 900725s1969 a||| |||| 00||| eng d | ||
| 035 | |a (OCoLC)58125 | ||
| 035 | |a (DE-599)BVBBV002952672 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-91G |a DE-703 |a DE-739 |a DE-355 |a DE-20 |a DE-19 |a DE-29T |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA247 | |
| 082 | 0 | |a 512/.815 | |
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 084 | |a 16A22 |2 msc | ||
| 100 | 1 | |a Kruse, Robert L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nilpotent rings |c Robert L. Kruse and David T. Price |
| 264 | 1 | |a New York [u.a.] |b Gordon and Breach |c 1969 | |
| 300 | |a VIII, 127 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Notes on mathematics and its applications | |
| 650 | 4 | |a Anneaux (Mathématiques) | |
| 650 | 4 | |a Rings (Algebra) | |
| 650 | 0 | 7 | |a Nilpotenter Ring |0 (DE-588)4589834-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nilpotenter Ring |0 (DE-588)4589834-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Price, David T. |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001848696&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001848696 | ||
Datensatz im Suchindex
| _version_ | 1804117244531179520 |
|---|---|
| adam_text | Contents
Preface ........ v
Chapter I Elementary results ...... 1
1 Definitions and notation 1
2 Annihilators 2
3 Annihilator series 4
4 Subdirectly irreducible nilpotent rings 7
5 The primary decomposition 9
6 The circle group 10
Chapter II Examples of nilpotent rings .... 17
1 Representations and rings of matrices 17
2 Free rings 19
3 The construction of rings by generators and
relations 20
4 Modular group algebras of ^ groups 24
Chapter III Families and capability ..... 27
1 The family classification 27
2 On the rings in a family 29
3 An example: the nilpotent rings of order p3 34
4 Nilpotent rings with chain conditions 40
5 Capability; the construction of families 42
6 Conditions for capability 48
Chapter IV The sabring structure of nilpotent rings . . 51
1 On generating rings 51
2 Automorphisms 54
3 Enumeration results 59
4 Nilpotent rings with only one subring of a
given order 62
vii
Vlii CONTENTS
5 Nilpotent p rings with one subring of
order p 67
6 Rings in which all subrings are ideals 68
Chapter V Counting finite nilpotent rings .... 80
1 Introduction 80
2 Asymptotic results 81
3 Asymptotic results for non nilpotent rings 90
Chapter VI Appendix The construction of some special rings 95
1 Some nilpotent ^ rings of rank 2 95
2 The nilpotent algebras of dimensions 4 99
3 Assume dim A = 4, A3 ^ 0 101
4 Assume dim A = 4, dim A2 == 1, A3 = 0,
and A is not reducible 102
5 Assume dim A = 4, dim A2 = 2, A3 = 0 104
Bibliography . . . . . . .109
List of special notation . . . . .123
Index 125
|
| any_adam_object | 1 |
| author | Kruse, Robert L. Price, David T. |
| author_facet | Kruse, Robert L. Price, David T. |
| author_role | aut aut |
| author_sort | Kruse, Robert L. |
| author_variant | r l k rl rlk d t p dt dtp |
| building | Verbundindex |
| bvnumber | BV002952672 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)58125 (DE-599)BVBBV002952672 |
| dewey-full | 512/.815 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.815 |
| dewey-search | 512/.815 |
| dewey-sort | 3512 3815 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01429nam a2200385 c 4500</leader><controlfield tag="001">BV002952672</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19980223 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1969 a||| |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)58125</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002952672</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA247</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.815</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16A22</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kruse, Robert L.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Nilpotent rings</subfield><subfield code="c">Robert L. Kruse and David T. Price</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Gordon and Breach</subfield><subfield code="c">1969</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 127 S.</subfield><subfield code="b">Ill.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Notes on mathematics and its applications</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Anneaux (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rings (Algebra)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nilpotenter Ring</subfield><subfield code="0">(DE-588)4589834-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nilpotenter Ring</subfield><subfield code="0">(DE-588)4589834-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Price, David T.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001848696&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001848696</subfield></datafield></record></collection> |
| id | DE-604.BV002952672 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:51:19Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001848696 |
| oclc_num | 58125 |
| open_access_boolean | |
| owner | DE-384 DE-91G DE-BY-TUM DE-703 DE-739 DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-29T DE-83 DE-11 DE-188 |
| owner_facet | DE-384 DE-91G DE-BY-TUM DE-703 DE-739 DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-29T DE-83 DE-11 DE-188 |
| physical | VIII, 127 S. Ill. |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Gordon and Breach |
| record_format | marc |
| series2 | Notes on mathematics and its applications |
| spelling | Kruse, Robert L. Verfasser aut Nilpotent rings Robert L. Kruse and David T. Price New York [u.a.] Gordon and Breach 1969 VIII, 127 S. Ill. txt rdacontent n rdamedia nc rdacarrier Notes on mathematics and its applications Anneaux (Mathématiques) Rings (Algebra) Nilpotenter Ring (DE-588)4589834-0 gnd rswk-swf Nilpotenter Ring (DE-588)4589834-0 s DE-604 Price, David T. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001848696&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kruse, Robert L. Price, David T. Nilpotent rings Anneaux (Mathématiques) Rings (Algebra) Nilpotenter Ring (DE-588)4589834-0 gnd |
| subject_GND | (DE-588)4589834-0 |
| title | Nilpotent rings |
| title_auth | Nilpotent rings |
| title_exact_search | Nilpotent rings |
| title_full | Nilpotent rings Robert L. Kruse and David T. Price |
| title_fullStr | Nilpotent rings Robert L. Kruse and David T. Price |
| title_full_unstemmed | Nilpotent rings Robert L. Kruse and David T. Price |
| title_short | Nilpotent rings |
| title_sort | nilpotent rings |
| topic | Anneaux (Mathématiques) Rings (Algebra) Nilpotenter Ring (DE-588)4589834-0 gnd |
| topic_facet | Anneaux (Mathématiques) Rings (Algebra) Nilpotenter Ring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001848696&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kruserobertl nilpotentrings AT pricedavidt nilpotentrings |