Geodesic
On algebras over multicategories
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 62-74

Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce a notion of a monoidal category over verbal category. In such categories we define algebras over multicategories over the same verbal categories. We also explicitly compute categories of algebras for two classes of multicategories.
Keywords: verbal category, multicategory, multifunctor, algebra over multicategory, commutative operad.
Mots-clés : natural multitransformation 
@article{IVM_2016_2_a8,
     author = {S. N. Tronin},
     title = {On algebras over multicategories},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {62--74},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_2_a8/}
}
TY  - JOUR
AU  - S. N. Tronin
TI  - On algebras over multicategories
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2016
SP  - 62
EP  - 74
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2016_2_a8/
LA  - ru
ID  - IVM_2016_2_a8
ER  - 
%0 Journal Article
%A S. N. Tronin
%T On algebras over multicategories
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2016
%P 62-74
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2016_2_a8/
%G ru
%F IVM_2016_2_a8
S. N. Tronin. On algebras over multicategories. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 62-74. http://geodesic.mathdoc.fr/item/IVM_2016_2_a8/