Journal article
Generators for comonoids and universal constructions
Archiv der Mathematik, Vol.106(1), pp.21-33
01/2016
DOI: 10.1007/s00013-015-0826-6
Abstract
We investigate cofree coalgebras, and limits and colimits of coalgebras in some abelian monoidal categories of interest, such as bimodules over a ring, and modules and comodules over a bialgebra or Hopf algebra. We find concrete generators for the categories of coalgebras in these monoidal categories, and explicitly construct cofree coalgebras, products and limits of coalgebras in each case. This answers an open question in Agore (Proc Am Math Soc 139:855–863, 2011) on the existence of a cofree coring, and constructs the cofree (co)module coalgebra on a B-(co)module, for a bialgebra B.
Details
- Title: Subtitle
- Generators for comonoids and universal constructions
- Creators
- Adnan Abdulwahid - Department of Mathematics University of Iowa MacLean Hall Iowa City IA USAMiodrag Iovanov - Faculty of Mathematics University of Bucharest Str. Academiei 14 010014 Bucharest Romania
- Resource Type
- Journal article
- Publication Details
- Archiv der Mathematik, Vol.106(1), pp.21-33
- DOI
- 10.1007/s00013-015-0826-6
- ISSN
- 0003-889X
- eISSN
- 1420-8938
- Publisher
- Springer International Publishing; Cham
- Language
- English
- Date published
- 01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9983985885302771
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