Year: 2024
Type: article
Abstract: In this paper, we introduce the notion of higher coderivations on coalgebras as an important generalization of coderivations, and show that there exists a one to one correspondence between the set of all higher coderivations {Dn} with D0 = idC and the set of all sequences of coderivations {fn} with f0 = 0. Then we characterize the higher coderivations on the formal triangular matrix co algebra ?= (CM 0D), and it is shown that the higher coderivations on ? could be described by the higher coderivations on C and D, generalized higher coderivations on M, and two other related families of maps.
Source: Filomat
DOI: 10.2298/fil2432193w
Authors: Dingguo Wang, Yaguo Guo, Daowei Lu
Institutions: Qufu Normal University, Heze University, Jining University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G1730147609, G8503811393
OpenAlex ID: W4411622232