| Title:
|
Relative weak derived functors (English) |
| Author:
|
Prabakaran, Panneerselvam |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
35-50 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $R$ be a ring, $n$ a fixed non-negative integer, ${\mathscr{W I}}$ the class of all left $R$-modules with weak injective dimension at most $n$, and ${\mathscr{W F}}$ the class of all right $R$-modules with weak flat dimension at most $n$. Using left (right) ${\mathscr{W I}}$-resolutions and the left derived functors of Hom we study the weak injective dimensions of modules and rings. Also we prove that $- \otimes -$ is right balanced on ${\mathscr{M}}_R \times {_R{\mathscr{M}}}$ by ${\mathscr{W F}} \times {\mathscr{W I}}$, and investigate the global right ${\mathscr{W I}}$-dimension of $_R{\mathscr{M}}$ by right derived functors of $\otimes$. (English) |
| Keyword:
|
weak injective module |
| Keyword:
|
weak flat module |
| Keyword:
|
weak injective dimension |
| Keyword:
|
weak flat dimension |
| MSC:
|
16E10 |
| MSC:
|
16E30 |
| MSC:
|
18G25 |
| idZBL:
|
Zbl 07217157 |
| idMR:
|
MR4093428 |
| DOI:
|
10.14712/1213-7243.2020.015 |
| . |
| Date available:
|
2020-04-30T11:15:02Z |
| Last updated:
|
2022-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148074 |
| . |
| Reference:
|
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| . |
