Cyclic modules and the structure of rings:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Oxford University Press
2012
|
| Edition: | 1. ed |
| Series: | Oxford mathematical monographs
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. [207]-218) and index |
| Physical Description: | X, 220 S. 24 cm |
| ISBN: | 9780199664511 |
Staff View
MARC
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| 245 | 1 | 0 | |a Cyclic modules and the structure of rings |c S. K. Jain ; Ashish K. Srivastava ; Askar A. Tuganbaev |
| 250 | |a 1. ed | ||
| 264 | 1 | |a Oxford |b Oxford University Press |c 2012 | |
| 300 | |a X, 220 S. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Oxford mathematical monographs | |
| 500 | |a Includes bibliographical references (p. [207]-218) and index | ||
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| 650 | 4 | |a Cycles | |
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| 700 | 1 | |a Srivastava, Ashish K. |e Verfasser |0 (DE-588)1034540963 |4 aut | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1
Preliminaries
1
1.1
Artinian and noetherian modules
2
1.2
Free modules,
projective
modules, and injective modules
4
1.3
Hereditary and semihereditary rings
8
1.4
Generalizations of injectivity
10
2
Rings characterized by their proper factor rings
14
2.1
Restricted artinian rings
14
2.2
Restricted perfect rings
16
2.3
Restricted
von
Neumann regular rings
19
2.4
Restricted self-mjective rings
22
3
Rings each of whose proper cyclic modules has a
chain condition
28
3.1
Rings each of whose proper cyclic modules is artinian
28
3.2
Rings with restricted minimum condition
30
3.3
Rings each of whose proper cyclic modules is perfect
34
4
Rings each of whose cyclic modules is injective (or CS)
37
4.1
Rings where each cyclic module is injective
37
4.2
Rings each of whose cyclic modules is CS
39
5
Rings each of whose proper cyclic modules is injective
45
6
Rings each of whose simple modules is injective (or
Σ
-injective)
49
6.1
V-rings
49
6.2
W-rings
51
6.3
Σ
-V
rings
55
6.4
CSI
rings
63
7
Rings each of whose (proper) cyclic modules is
quasi-injective
65
7.1
Rings each of whose cyclic modules is quasi-injective
65
7.2
Rings each of whose proper cyclic modules is quasi-injective
8
Rings each of whose (proper) cyclic modules is continuous
71
8.1
Rings each of whose cyclic modules is continuous
71
8.2
Rings each of whose proper cyclic modules is continuous
72
x
Contents
9
Rings each of whose (proper) cyclic modules is Tr-injective
75
9.1
Rings each of whose cyclic modules is Tr-injective
75
9.2
Rings each of whose proper cyclic modules is Tr-injective
79
10
Rings with cyclics Ho-injective, weakly injective, or
quasi-projective
84
10.1
Rings each of whose cyclic modules is No-injective
84
10.2
Rings each of whose cyclic modules is weakly injective
88
10.3
Rings each of whose cyclic modules is quasi-projective
90
11
Hypercyclic, g-hypercyclic, and Tr-hypercyclic rings
94
11.1
Hypercyclic rings
94
11.2
ç-hypercyclic
rings
106
11.3
Tr-hypercyclic rings
110
12
Cyclic modules essentially embeddable in free modules
113
13
Serial and distributive modules
124
14
Rings characterized by decompositions of their
cyclic modules
131
15
Rings each of whose modules is a direct sum of
cyclic modules
147
16
Rings each of whose modules is an Jo-module
151
17
Completely integrally closed modules and rings
161
18
Rings each of whose cyclic modules is completely
integrally closed
173
19
Rings characterized by their one-sided ideals
185
19.1
Rings each of whose one-sided ideals is quasi-injective
185
19.2
Rings each of whose one-sided ideals is a direct sum of
quasi-injectives
190
19.3
Rings each of whose one-sided ideals is
тг
-mjective
200
19.4
Rings each of whose one-sided ideals is a direct sum of
Tr-injective right ideals
200
19.5
Rings each of whose one-sided ideals is weakly injective
202
19.6
Rings each of whose one-sided ideals is quasi-projective
204
References
207
Index
219
|
| any_adam_object | 1 |
| author | Jain, Surender K. 1938- Srivastava, Ashish K. Tuganbaev, Askar A. |
| author_GND | (DE-588)115598480 (DE-588)1034540963 (DE-588)103454148X |
| author_facet | Jain, Surender K. 1938- Srivastava, Ashish K. Tuganbaev, Askar A. |
| author_role | aut aut aut |
| author_sort | Jain, Surender K. 1938- |
| author_variant | s k j sk skj a k s ak aks a a t aa aat |
| building | Verbundindex |
| bvnumber | BV040599940 |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)817771663 (DE-599)BVBBV040599940 |
| dewey-full | 512.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.4 |
| dewey-search | 512.4 |
| dewey-sort | 3512.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. ed |
| format | Book |
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| id | DE-604.BV040599940 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:27:01Z |
| institution | BVB |
| isbn | 9780199664511 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025427696 |
| oclc_num | 817771663 |
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| owner_facet | DE-19 DE-BY-UBM DE-824 DE-11 DE-703 DE-384 |
| physical | X, 220 S. 24 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Oxford University Press |
| record_format | marc |
| series2 | Oxford mathematical monographs |
| spelling | Jain, Surender K. 1938- Verfasser (DE-588)115598480 aut Cyclic modules and the structure of rings S. K. Jain ; Ashish K. Srivastava ; Askar A. Tuganbaev 1. ed Oxford Oxford University Press 2012 X, 220 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Includes bibliographical references (p. [207]-218) and index Noncommutative rings Cycles Modul (DE-588)4129770-2 gnd rswk-swf Zyklische Algebra (DE-588)4597748-3 gnd rswk-swf Ringtheorie (DE-588)4126571-3 gnd rswk-swf Modul (DE-588)4129770-2 s Zyklische Algebra (DE-588)4597748-3 s Ringtheorie (DE-588)4126571-3 s DE-604 Srivastava, Ashish K. Verfasser (DE-588)1034540963 aut Tuganbaev, Askar A. Verfasser (DE-588)103454148X aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025427696&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jain, Surender K. 1938- Srivastava, Ashish K. Tuganbaev, Askar A. Cyclic modules and the structure of rings Noncommutative rings Cycles Modul (DE-588)4129770-2 gnd Zyklische Algebra (DE-588)4597748-3 gnd Ringtheorie (DE-588)4126571-3 gnd |
| subject_GND | (DE-588)4129770-2 (DE-588)4597748-3 (DE-588)4126571-3 |
| title | Cyclic modules and the structure of rings |
| title_auth | Cyclic modules and the structure of rings |
| title_exact_search | Cyclic modules and the structure of rings |
| title_full | Cyclic modules and the structure of rings S. K. Jain ; Ashish K. Srivastava ; Askar A. Tuganbaev |
| title_fullStr | Cyclic modules and the structure of rings S. K. Jain ; Ashish K. Srivastava ; Askar A. Tuganbaev |
| title_full_unstemmed | Cyclic modules and the structure of rings S. K. Jain ; Ashish K. Srivastava ; Askar A. Tuganbaev |
| title_short | Cyclic modules and the structure of rings |
| title_sort | cyclic modules and the structure of rings |
| topic | Noncommutative rings Cycles Modul (DE-588)4129770-2 gnd Zyklische Algebra (DE-588)4597748-3 gnd Ringtheorie (DE-588)4126571-3 gnd |
| topic_facet | Noncommutative rings Cycles Modul Zyklische Algebra Ringtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025427696&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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