ieja International Electronic Journal of Algebra 1306-6048 Abdullah HARMANCI 10.24330/ieja.440239 Mathematical Sciences Matematik A CATEGORICAL APPROACH TO ALGEBRAS AND COALGEBRAS Wisbauer Robert 07 05 2018 24 24 153 173 12 19 2017 Copyright © 2007, International Electronic Journal of Algebra 2007 International Electronic Journal of Algebra

Algebraic and coalgebraic structures are often handled independently.In this survey we want to show that they both show up naturally whenapproaching them from a categorical point of view. Azumaya, Frobenius, separable,and Hopf algebras are obtained when both notions are combined. Thestarting point and guiding lines for this approach are given by adjoint pairs offunctors and their elementary properties.

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