International Journal of Functional Analysis, Operator Theory and Applications
Volume 12, Issue 1, Pages 23 - 35
(June 2020)
http://dx.doi.org/10.17654/FA012010023 |
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CHARACTERIZATION OF CO-FROBENIUS-HOPF ALGEBRAS WITH LOCAL TYPE STRONG ADJUCTION PROPERTIES
A. V. Onuche, I. P. Ngwongwo and T. J. Alabi
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Abstract:
A generalized existence and uniqueness of integral results arising from compact groups and their associated Hopf algebras to the pure coalgebraic setting are well known. We provide alternative proofs which extend the results of Abe (cf. [1, p. 277]) and many others available in the literatures. Finally, local type strong adjunction properties are relaxed allowing the application of our results to the theory of K-algebra A and its associated forgetful functors. |
| Keywords and phrases: Frobenius, coalgebra, compact group, Hopf algebra.
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