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 volume

Authors:

K. Draoui

Khalid Draoui

Mathematical Sciences and Applications Laboratory
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

Mathematical Sciences and Applications Laboratory
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

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

email: hakima.mouanis@usmba.ac.ma

0000-0002-9654-8139

Title:

On a class of semi–normal monoidal functors

PDF

Source:

Discussiones Mathematicae - General Algebra and Applications 45(1) (2025) 33-56

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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