Banerjee, A and Das, S (2024) Heavily separable functors of the second kind and applications. In: Journal of Algebra, 643 . pp. 49-75.
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Official URL: https://doi.org/10.1016/j.jalgebra.2023.12.022
Abstract
We introduce heavily separable functors of the second kind and study them in three different situations. The first of these is with restrictions and extensions of scalars for modules over small preadditive categories. The second is with free functors taking values in Eilenberg-Moore categories associated to a monad or a comonad. Finally, we consider entwined modules and give if and only if conditions for heavy separability of the second kind for functors forgetting either the comodule action or the module action. © 2023 Elsevier Inc.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Algebra |
| Publisher: | Academic Press Inc. |
| Additional Information: | The copyright for this article belongs to authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 29 Feb 2024 10:27 |
| Last Modified: | 29 Feb 2024 10:27 |
| URI: | https://eprints.iisc.ac.in/id/eprint/83880 |
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