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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147417 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862683649600651264 |
|---|---|
| author | Street, R. |
| author_facet | Street, R. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T15:56:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147417 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:56:15Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Street, R. 2019-02-14T18:10:08Z 2019-02-14T18:10:08Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/147417 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Weighted Tensor Products of Joyal Species, Graphs, and Charades Article published earlier |
| spellingShingle | Weighted Tensor Products of Joyal Species, Graphs, and Charades Street, R. |
| title | 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_short | Weighted Tensor Products of Joyal Species, Graphs, and Charades |
| title_sort | weighted tensor products of joyal species, graphs, and charades |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147417 |
| work_keys_str_mv | AT streetr weightedtensorproductsofjoyalspeciesgraphsandcharades |