| Title:
|
Some annihilator ideals in skew Hurwitz series rings (English) |
| Author:
|
Singh, Amit B. |
| Author:
|
Arora, Deepa |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0011-4642 |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
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151 |
| Issue:
|
1 |
| Year:
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2026 |
| Pages:
|
1-9 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A ring $R$ has right (left) property (A) if for every finitely generated two-sided ideal $I\subseteq Z_{l}(R)$ $(I\subseteq Z_{r}(R))$, there exists nonzero $u\in R$ $(v\in R)$ such that $Iu=0$ $(vI=0)$. In this article, we establish a relationship between a ring with property (A) and its skew Hurwitz series ring $(HR, \omega )$, where $\omega $ is an endomorphism of $R$. Also some properties of strongly right AB ring for skew Hurwitz series rings are studied. (English) |
| Keyword:
|
ring with right property (A) |
| Keyword:
|
skew Hurwitz series ring |
| Keyword:
|
$\omega $-compatible ring |
| MSC:
|
16D25 |
| MSC:
|
16D70 |
| MSC:
|
16S34 |
| DOI:
|
10.21136/MB.2025.0066-24 |
| . |
| Date available:
|
2026-02-19T13:44:47Z |
| Last updated:
|
2026-02-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153381 |
| . |
| Reference:
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