# 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 -

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