| Title:
|
Products of small modules (English) |
| Author:
|
Kálnai, Peter |
| Author:
|
Žemlička, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
9-16 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Module is said to be small if it is not
a union of strictly increasing infinite
countable chain of submodules. We show
that the class of all small modules
over self-injective purely infinite
ring is closed under direct products
whenever there exists no strongly
inaccessible cardinal. (English) |
| Keyword:
|
small module |
| Keyword:
|
self-injectivity |
| Keyword:
|
von Neumann regular ring |
| Keyword:
|
purely infinite rings |
| Keyword:
|
direct sums |
| Keyword:
|
direct products |
| Keyword:
|
strongly inaccessible cardinals |
| MSC:
|
03E35 |
| MSC:
|
16B70 |
| MSC:
|
16D10 |
| MSC:
|
16D50 |
| MSC:
|
16D70 |
| MSC:
|
16D80 |
| MSC:
|
16E50 |
| MSC:
|
16S50 |
| idZBL:
|
Zbl 06383781 |
| idMR:
|
MR3160822 |
| . |
| Date available:
|
2014-01-17T09:31:11Z |
| Last updated:
|
2016-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143564 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| . |
