| Title:
|
On generalized derivations of partially ordered sets (English) |
| Author:
|
Abdelwanis, Ahmed Y. |
| Author:
|
Boua, Abdelkarim |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
69-78 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $P$ be a poset and $d$ be a derivation on $P$. In this research, the notion of generalized $d$-derivation on partially ordered sets is presented and studied. Several characterization theorems on generalized $d$-derivations are introduced. The properties of the fixed points based on the generalized $d$-derivations are examined. The properties of ideals and operations related with generalized $d$-derivations are studied. (English) |
| Keyword:
|
Generalized $d$-derivation |
| Keyword:
|
fixed point |
| Keyword:
|
ideal |
| Keyword:
|
partially ordered set. |
| MSC:
|
06Axx |
| MSC:
|
06E20 |
| MSC:
|
13N15 |
| idZBL:
|
Zbl 1469.06002 |
| idMR:
|
MR3977478 |
| . |
| Date available:
|
2019-06-28T14:51:16Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147769 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
