| Title:
|
On weakened $(\alpha ,\delta )$-skew Armendariz rings (English) |
| Author:
|
Farahani, Alireza Majdabadi |
| Author:
|
Maghasedi, Mohammad |
| Author:
|
Heydari, Farideh |
| Author:
|
Tavallaee, Hamidagha |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
2 |
| Year:
|
2022 |
| Pages:
|
187-200 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note, for a ring endomorphism $\alpha $ and an $\alpha $-derivation $\delta $ of a ring $R$, the notion of weakened $(\alpha ,\delta )$-skew Armendariz rings is introduced as a generalization of $\alpha $-rigid rings and weak Armendariz rings. It is proved that $R$ is a weakened $(\alpha ,\delta )$-skew Armendariz ring if and only if $T_n(R)$ is weakened $(\bar {\alpha },\bar {\delta })$-skew Armendariz if and only if $R[x]/(x^n)$ is weakened $(\bar {\alpha },\bar {\delta })$-skew Armendariz ring for any positive integer $n$. (English) |
| Keyword:
|
Armendariz ring |
| Keyword:
|
$(\alpha ,\delta )$-skew Armendariz ring |
| Keyword:
|
weak Armendariz ring |
| Keyword:
|
weak $(\alpha ,\delta )$-skew Armendariz ring |
| MSC:
|
16S36 |
| MSC:
|
16S50 |
| MSC:
|
16S99 |
| idZBL:
|
Zbl 07547249 |
| idMR:
|
MR4407351 |
| DOI:
|
10.21136/MB.2021.0005-20 |
| . |
| Date available:
|
2022-04-14T13:41:08Z |
| Last updated:
|
2022-09-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150327 |
| . |
| Reference:
|
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