Kragujevac Journal of Mathematics, Volume (49), No (1), Year (2021-10) , Pages (7-16)

Title : ( HIGHER CODERIVATIONS ON COALGEBRAS AND CHARACTERIZATION )

Authors: Elham Tafazoli , Madjid Mirzavaziri ,

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Abstract

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.

Keywords

, Coalgebra, coderivation, higher coderivation.
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@article{paperid:1087791,
author = {Elham Tafazoli and Madjid Mirzavaziri, },
title = {HIGHER CODERIVATIONS ON COALGEBRAS AND CHARACTERIZATION},
journal = {Kragujevac Journal of Mathematics},
year = {2021},
volume = {49},
number = {1},
month = {October},
issn = {1450-9628},
pages = {7--16},
numpages = {9},
keywords = {Coalgebra; coderivation; higher coderivation.},
}

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%0 Journal Article
%T HIGHER CODERIVATIONS ON COALGEBRAS AND CHARACTERIZATION
%A Elham Tafazoli
%A Madjid Mirzavaziri,
%J Kragujevac Journal of Mathematics
%@ 1450-9628
%D 2021

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