| TRNKA, Dominik. Category-colored operads, internal operads, and Markl O-operads. Theory and Applications of Categories. Mount Allison University, 2023, roč. 39, č. 30, s. 874-915. ISSN 1201-561X. |
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@article{2342077,
author = {Trnka, Dominik},
article_number = {30},
keywords = {Colored operad; Internal operad; Operadic category; Markl operad; Hyperoperad},
language = {eng},
issn = {1201-561X},
journal = {Theory and Applications of Categories},
title = {Category-colored operads, internal operads, and Markl O-operads},
url = {http://www.tac.mta.ca/tac/volumes/39/30/39-30abs.html},
volume = {39},
year = {2023}
}
TY - JOUR
ID - 2342077
AU - Trnka, Dominik
PY - 2023
TI - Category-colored operads, internal operads, and Markl O-operads
JF - Theory and Applications of Categories
VL - 39
IS - 30
SP - 874-915
EP - 874-915
PB - Mount Allison University
SN - 1201561X
KW - Colored operad
KW - Internal operad
KW - Operadic category
KW - Markl operad
KW - Hyperoperad
UR - http://www.tac.mta.ca/tac/volumes/39/30/39-30abs.html
N2 - 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.
ER -
TRNKA, Dominik. Category-colored operads, internal operads, and Markl O-operads. \textit{Theory and Applications of Categories}. Mount Allison University, 2023, roč.~39, č.~30, s.~874-915. ISSN~1201-561X.
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