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High Order Derivations and High Order Lie-Like Elements

Published online by Cambridge University Press:  20 November 2018

S. T. Chang
S. T. Chang*
Affiliation:
Queen's University, Kingston, Ontario
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We can define high order derivations of an algebra into the ground field by diagrams. Then consider the same diagrams in t he category of coalgebras. By reversing all t he arrows in these diagrams, we come to a new notion - high order Lie-like elements of a coalgebra. These elements are useful in the study of the structure of coalgebras and sequences of divided powers.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 6 , December 1972 , pp. 1154 - 1163
Copyright
Copyright © Canadian Mathematical Society 1972

References

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