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Some Topics in coalgebra calculus

Quantum Algebra 2009-10-31 v2 Mathematical Physics math.MP

Abstract

We study a coderivation from a cobimodule into a coalgebra. Vector cofields are defined by the action of a codual bicomodule on a coalgebra. This action is induced by a codifferential. A construction of a codual object in the category of bicomodules over a given coalgebra has been proposed. Various notions of duality have been analysed in this context.

Keywords

Cite

@article{arxiv.math/9910018,
  title  = {Some Topics in coalgebra calculus},
  author = {A. Borowiec and G. A. Vazquez Coutino},
  journal= {arXiv preprint arXiv:math/9910018},
  year   = {2009}
}

Comments

6 pages, latex2e (latexsym), no figures, minor changes, one comment added, Czech. J. Phys. 50 (2000), 23