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Ring Theory Seminar - Joaquín Diaz-Boils

Joaquín Diaz-Boils
September 8, 2017
4:45PM - 5:45PM
Cockins Hall 240

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Add to Calendar 2017-09-08 16:45:00 2017-09-08 17:45:00 Ring Theory Seminar - Joaquín Diaz-Boils Title: Cartesian versus monoidal categories: the tensor product of algebraic structures in a general settingSpeaker: Joaquín Diaz-Boils (Pontifical Catholic University of Ecuador, Quito, Ecuador)Abstract: Considering the tensor product of algebraic structures, rings in particular, as a motivating example, we define the concepts of Monoidal and Symmetric Monoidal Category. Then, a comparative study of their relation with the concrete setting of Cartesian Category is developed establishing the conditions for a Monoidal Category to become Cartesian. In this line it will be presented minimum conditions to obtain a Cartesian Monoidal Category. Finally we give some examples, in particular the category of cocommutative comonoids, as a way to define a Cartesian Category living into a Symmetric Monoidal one. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Cartesian versus monoidal categories: the tensor product of algebraic structures in a general setting

Speaker: Joaquín Diaz-Boils (Pontifical Catholic University of Ecuador, Quito, Ecuador)

Abstract: Considering the tensor product of algebraic structures, rings in particular, as a motivating example, we define the concepts of Monoidal and Symmetric Monoidal Category. Then, a comparative study of their relation with the concrete setting of Cartesian Category is developed establishing the conditions for a Monoidal Category to become Cartesian. In this line it will be presented minimum conditions to obtain a Cartesian Monoidal Category. Finally we give some examples, in particular the category of cocommutative comonoids, as a way to define a Cartesian Category living into a Symmetric Monoidal one.

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