Weighted Tensor Products of Joyal Species, Graphs, and Charades
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 monoi...
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2016
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147417 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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irk-123456789-1474172019-02-15T01:25:16Z Weighted Tensor Products of Joyal Species, Graphs, and Charades Street, R. 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. 2016 Article 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. 1815-0659 DOI:10.3842/SIGMA.2016.005 2010 Mathematics Subject Classification: 18D10; 05A15; 18A32; 18D05; 20H30; 16T30 http://dspace.nbuv.gov.ua/handle/123456789/147417 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Street, R. |
| spellingShingle |
Street, R. Weighted Tensor Products of Joyal Species, Graphs, and Charades Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Street, R. |
| author_sort |
Street, R. |
| title |
Weighted Tensor Products of Joyal Species, Graphs, and Charades |
| title_short |
Weighted Tensor Products of Joyal Species, Graphs, and Charades |
| title_full |
Weighted Tensor Products of Joyal Species, Graphs, and Charades |
| title_fullStr |
Weighted Tensor Products of Joyal Species, Graphs, and Charades |
| title_full_unstemmed |
Weighted Tensor Products of Joyal Species, Graphs, and Charades |
| title_sort |
weighted tensor products of joyal species, graphs, and charades |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147417 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT streetr weightedtensorproductsofjoyalspeciesgraphsandcharades |
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2025-07-11T02:02:19Z |
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2025-07-11T02:02:19Z |
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