Higher Coderivations on Coalgebras and Characterization
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Authors: E. TAFAZOLI AND M. MIRZAVAZIRI
DOI: 10.46793/KgJMat2501.007T
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.
2020 Mathematics Subject Classification. Primary: 16W25. Secondary: 47L57, 47B47, 13N15.
References:
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