Detailed Information on Publication Record
2023
Category-colored operads, internal operads, and Markl O-operads
TRNKA, DominikBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Canada
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
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
Tags
International impact, Reviewed
Změněno: 2/2/2024 09:51, Mgr. Marie Šípková, DiS.
Abstract
V originále
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 MU |
|