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періодичних видань НАН України
Weighted Tensor Products of Joyal Species, Graphs, and Charades
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Weighted Tensor Products of Joyal Species, Graphs, and Charades
Інший ID:
DOI:10.3842/SIGMA.2016.005
2010 Mathematics Subject Classification: 18D10; 05A15; 18A32; 18D05; 20H30; 16T30
2010 Mathematics Subject Classification: 18D10; 05A15; 18A32; 18D05; 20H30; 16T30
Посилання:
Weighted Tensor Products of Joyal Species, Graphs, and Charades / R. Street // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 23 назв. — англ.
Підтримка:
I am grateful to the referees for their careful work and, in particular, for pointing out the
references [1, 3, 20]. The author gratefully acknowledges the support of Australian Research
Council Discovery Grant DP130101969.
Дата:
2016
Переглядів:
671
Завантажень:
319
Анотація:
Motivated by the weighted Hurwitz product on sequences in an algebra, we produce a family of monoidal structures on the category of Joyal species. We suggest a family of tensor products for charades. We begin by seeing weighted derivational algebras and weighted Rota-Baxter algebras as special monoids and special semigroups, respectively, for the same monoidal structure on the category of graphs in a monoidal additive category. Weighted derivations are lifted to the categorical level.
