SKEW MONOIDAL STRUCTURES ON ACTEGORIES
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00143591" target="_blank" >RIV/00216224:14310/25:00143591 - isvavai.cz</a>
Result on the web
<a href="http://www.tac.mta.ca/tac/volumes/44/38/44-38abs.html" target="_blank" >http://www.tac.mta.ca/tac/volumes/44/38/44-38abs.html</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
SKEW MONOIDAL STRUCTURES ON ACTEGORIES
Original language description
We present a construction of skew monoidal structures from strong actions. We prove that the existence of a certain adjoint allows one to equip the actegory with a skew monoidal structure and that this adjunction becomes monoidal. This construction provides a unifying framework for the description of several examples of skew monoidal categories. We also demonstrate how braidings on the original monoidal category of a given action induce braidings on the resulting skew monoidal structure on the actegory and describe sufficient conditions for closedness of the resulting skew monoidal structure.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theory and Applications of Categories
ISSN
1201-561X
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
November
Country of publishing house
CA - CANADA
Number of pages
34
Pages from-to
1282-1315
UT code for WoS article
001619091700001
EID of the result in the Scopus database
2-s2.0-105024360835