Geodesic
Higher Coderivations on Coalgebras and Characterization
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 1, p. 7

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper we define higher coderivations on a coalgebra $C$ and then we characterize them in terms of the coderivations on $C$. Indeed, we show that each higher coderivation is a combination of compositions of coderivations. Finally we prove a one to one correspondence between the set of all higher coderivations on $C$ and all sequences of coderivations on $C$.
Classification : 16W25, 47L57, 47B47, 13N15
Keywords: coalgebra, coderivation, higher coderivation 
E. Tafazoli; M. Mirzavaziri. Higher Coderivations on Coalgebras and Characterization. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 1, p. 7 . http://geodesic.mathdoc.fr/item/KJM_2025_49_1_a0/
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     title = {Higher {Coderivations} on {Coalgebras} and {Characterization}},
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