On generalized derivations of partially ordered sets
Ahmed Y. Abdelwanis; Abdelkarim Boua
Communications in Mathematics (2019)
- Volume: 27, Issue: 1, page 69-78
- ISSN: 1804-1388
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topAbdelwanis, Ahmed Y., and Boua, Abdelkarim. "On generalized derivations of partially ordered sets." Communications in Mathematics 27.1 (2019): 69-78. <http://eudml.org/doc/294363>.
@article{Abdelwanis2019,
abstract = {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.},
author = {Abdelwanis, Ahmed Y., Boua, Abdelkarim},
journal = {Communications in Mathematics},
keywords = {Generalized $d$-derivation; fixed point; ideal; partially ordered set},
language = {eng},
number = {1},
pages = {69-78},
publisher = {University of Ostrava},
title = {On generalized derivations of partially ordered sets},
url = {http://eudml.org/doc/294363},
volume = {27},
year = {2019},
}
TY - JOUR
AU - Abdelwanis, Ahmed Y.
AU - Boua, Abdelkarim
TI - On generalized derivations of partially ordered sets
JO - Communications in Mathematics
PY - 2019
PB - University of Ostrava
VL - 27
IS - 1
SP - 69
EP - 78
AB - 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.
LA - eng
KW - Generalized $d$-derivation; fixed point; ideal; partially ordered set
UR - http://eudml.org/doc/294363
ER -
References
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