| Title:
|
(Generalized) filter properties of the amalgamated algebra (English) |
| Author:
|
Azimi, Yusof |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
58 |
| Issue:
|
3 |
| Year:
|
2022 |
| Pages:
|
133-140 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $R$ and $S$ be commutative rings with unity, $f\colon R\rightarrow S$ a ring homomorphism and $J$ an ideal of $S$. Then the subring $R\bowtie ^fJ:=\lbrace (a,f(a)+j)\mid a\in R$ and $j\in J\rbrace $ of $R\times S$ is called the amalgamation of $R$ with $S$ along $J$ with respect to $f$. In this paper, we determine when $R\bowtie ^fJ$ is a (generalized) filter ring. (English) |
| Keyword:
|
amalgamated algebra |
| Keyword:
|
Cohen-Macaulay ring |
| Keyword:
|
$f$-ring |
| Keyword:
|
generalized $f$-ring |
| MSC:
|
13A15 |
| MSC:
|
13C14 |
| MSC:
|
13C15 |
| MSC:
|
13E05 |
| MSC:
|
13H10 |
| idZBL:
|
Zbl 07584085 |
| idMR:
|
MR4483048 |
| DOI:
|
10.5817/AM2022-3-133 |
| . |
| Date available:
|
2022-09-01T10:15:40Z |
| Last updated:
|
2023-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150658 |
| . |
| Reference:
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