Title of article :
DUAL ADJUNCTIONS BETWEEN ALGEBRAS AND COALGEBRAS
Author/Authors :
Porst, Hans–E. University of Bremen - Department of Mathematics, Germany
Abstract :
It is shown that the dual algebra functor from coalgebras to algebras has a left adjoint even if the base ring is not a field but an arbitrary commutative ring with 1. This result is proved as a corollary to a more general theorem on adjunctions between comonoids and monoids over suitable symmetric monoidal categories.
Keywords :
monoids , comonoids , dual algebra of a coalgebra
Journal title :
The Arabian Journal for Science and Engineering
Journal title :
The Arabian Journal for Science and Engineering
