Cofree objects in the centralizer and the center categories

Author(s):

Adnan H. Abdulwahid

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

We study cocompleteness, co-wellpoweredness, and generators in the centralizer category of an object or morphism in a monoidal category, and the center or the weak center of a monoidal category. We explicitly give some answers for when colimits, cocompleteness, co-wellpoweredness, and generators in these monoidal categories can be inherited from their base monidal categories. Most importantly, we investigate cofree objects of comonoids in these monoidal categories.

Keywords:

category , center , comonoid , cocompleteness , co-wellpoweredness

Language:
English
Published:
Categories and General Algebraic Structures with Applications, Volume:14 Issue: 1, Jan 2021
Pages:
1 to 38
https://www.magiran.com/p2239343