TRNKA, Dominik. Category-colored operads, internal operads, and Markl O-operads. Theory and Applications of Categories. Mount Allison University, 2023, vol. 39, No 30, p. 874-915. ISSN 1201-561X.
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Basic information
Original name Category-colored operads, internal operads, and Markl O-operads
Authors TRNKA, Dominik (203 Czech Republic, guarantor, belonging to the institution).
Edition Theory and Applications of Categories, Mount Allison University, 2023, 1201-561X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Canada
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.500 in 2022
RIV identification code RIV/00216224:14310/23:00132345
Organization unit Faculty of Science
UT WoS 001126060400001
Keywords in English Colored operad; Internal operad; Operadic category; Markl operad; Hyperoperad
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 2/2/2024 09:51.
Abstract
We present a Markl-style definition of operads colored by a small category. In the presence of a unit these are equivalent to substitudes of Day and Street. We show that operads colored by a category are internal algebras of a certain categorical operad of functors. We describe a groupoid-colored quadratic binary operad, whose algebras are non-unital Markl operads in the context of operadic categories. As a by-product we describe the free internal operad construction.
Links
MUNI/A/1099/2022, interní kód MUName: Specifický výzkum v odborné a učitelské matematice 2023
Investor: Masaryk University
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