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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 2, Pages 62–74 (Mi ivm9083)  
On algebras over multicategories

S. N. Tronin

Chair of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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Abstract: 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, natural multitransformation, algebra over multicategory, commutative operad.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-5383.2012.1
2045
Received: 08.07.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 2, Pages 52–61
DOI: https://doi.org/10.3103/S1066369X16020092
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: S. N. Tronin, “On algebras over multicategories”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 62–74; Russian Math. (Iz. VUZ), 60:2 (2016), 52–61
Citation in format AMSBIB
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