DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score (2023): 0.6

SJR (2023): 0.214

SNIP (2023): 0.604

Index Copernicus (2022): 121.02

H-Index: 5

Discussiones Mathematicae - General Algebra and Applications

Article in press

Authors:

K. Draoui

Khalid Draoui

Department of Mathematics, Faculty of Sciences Dhar Al Mahraz, P.O. Box 1796, University Sidi Mohamed Ben Abdellah Fez, Morocco.

email: khalid.draoui@usmba.ac.ma

0000-0001-9879-4096

H. Choulli

Hanan Choulli

Department of Mathematics. Faculty of Sciences Dhar Al Mahraz, P. O. Box 1796. University Sidi Mohamed Ben Abdellah Fez, Morocco

email: hanan.choulli@usmba.ac.ma

0000-0002-7260-882X

H. Mouanis

Hakima Mouanis

Department of Mathematics. Faculty of Sciences Dhar Al Mahraz, P. O. Box 1796. University Sidi Mohamed Department of Mathematics. Faculty of Sciences Dhar Al Mahraz, P. O. Box 1796. University Sidi Mohamed Ben Abdellah Fez, Morocco Abdellah Fez, Morocco

email: hakima.mouanis@usmba.ac.ma

0000-0002-9654-8139

Title:

On a class of semi–normal monoidal functors

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Source:

Discussiones Mathematicae - General Algebra and Applications

Received: 2023-06-04 , Revised: 2024-02-07 , Accepted: 2024-02-08 , Available online: 2024-06-27 , https://doi.org/10.7151/dmgaa.1456

Abstract:

In this paper, we introduce and study an intermediate class, termed semi-normal monoidal functors, between the classes of monoidal and normal monoidal functors. We show that any left, or right, rigid braided category admits a contravariant semi-normal (co)monoidal endofunctor. Several examples are presented, showing the non triviality of this class. Moreover, it is shown that semi-normal monoidal functors from a monoidal category to a braided monoidal category, form a braided monoidal category.

Keywords:

monoidal category, braiding, normal monoidal functor, natural transformation

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