coaction

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coaction

(kō-ăk′shən)

1. An impelling or restraining force; a compulsion.

2. Joint action.

3. Ecology Any of the reciprocal actions or effects, such as symbiosis, that can occur in a community.

co·ac′tive adj.

co·ac′tive·ly adv.

References in periodicals archive ?

We need to convince ourselves that this dualization interchanges action and coaction. But this is clearly true

Three natural subgroups of the Brauer-Picard group of a Hopf algebra with applications

Corollary 5.2 The ySym action and coaction defined in (Forcey et al., 2010, Section 4.1) make [MSym.sub.+] into a Hopf module isomorphic to the Hopfmodule PSym.

Cofree compositions of coalgebras

There have been numerous publications on coaction of physiologically active substances.

Positive antibacterial co-action between hop (Humulus lupulus) constituents and selected antibiotics

The coaction [rho] in this basis is particularly nice, but we need a bit more notation to describe it.

New Hopf structures on binary trees

If we endow [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] with the right H- coaction [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] given by

On Doi-Hopf modules and Yetter-Drinfeld modules in symmetric monoidal categories

P is a right C-comodule with the coaction p [??] e[[cross product].sub.B]p, hence it is an integrable Z-connection over T(C, x) with covariant derivative:

Curved differential graded algebras and corings

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