http://orcid.org/0000-0002-0543-476X
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Abstract
For a linear category over a field K, the morphism space of any two objects admits a bimodule structure over the endomorphism algebras of the objects, so it induces a Morita context between those two algebras. In this article, we use Morita context functors to study cellular categories and give relationships between the cell modules which belong to different endomorphism algebras in a cellular category.
Acknowledgements
The author is deeply indebted to the referee for many helpful suggestions.
Disclosure statement
No potential conflict of interest was reported by the author.
Additional information
Funding
This work is partially supported by the Foundation of Basic Sciences of Beijing Union University (No. 122139918290107042). The author also thanks the Scientific Research Management Fund in Basic Courses Department of Beijing Union University (No. 11202531501) for support.