Geodesic
On generalized derivations of partially ordered sets
Communications in Mathematics, Tome 27 (2019) no. 1, pp. 69-78

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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.
Classification : 06Axx, 06E20, 13N15
Keywords: Generalized $d$-derivation; fixed point; ideal; partially ordered set. 
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     author = {Abdelwanis, Ahmed Y. and Boua, Abdelkarim},
     title = {On generalized derivations of partially ordered sets},
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     pages = {69--78},
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     volume = {27},
     number = {1},
     year = {2019},
     mrnumber = {3977478},
     zbl = {1469.06002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2019__27_1_a5/}
}
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Abdelwanis, Ahmed Y.; Boua, Abdelkarim. On generalized derivations of partially ordered sets. Communications in Mathematics, Tome 27 (2019) no. 1, pp. 69-78. http://geodesic.mathdoc.fr/item/COMIM_2019__27_1_a5/