| Title:
|
On McCoy condition and semicommutative rings (English) |
| Author:
|
Louzari, Mohamed |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2013 |
| Pages:
|
329-337 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $R$ be a ring and $\sigma$ an endomorphism of $R$. We give a generalization of McCoy's Theorem [ Annihilators in polynomial rings, Amer. Math. Monthly 64 (1957), 28--29] to the setting of skew polynomial rings of the form $R[x;\sigma]$. As a consequence, we will show some results on semicommutative and $\sigma$-skew McCoy rings. Also, several relations among McCoyness, Nagata extensions and Armendariz rings and modules are studied. (English) |
| Keyword:
|
Armendariz rings |
| Keyword:
|
McCoy rings |
| Keyword:
|
Nagata extension |
| Keyword:
|
semicommutative rings |
| Keyword:
|
$\sigma$-skew McCoy |
| MSC:
|
16S36 |
| MSC:
|
16U80 |
| . |
| Date available:
|
2013-06-29T06:48:07Z |
| Last updated:
|
2015-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143304 |
| . |
| Reference:
|
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| Reference:
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