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pro vyhledávání: '"Will Grilliette"'
An oriented hypergraph is an oriented incidence structure that allows for the generalization of graph theoretic concepts to integer matrices through its locally signed graphic substructure. The locally graphic behaviors are formalized in the subobjec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd37b00328f925ae8a227689cab97ba8
Autor:
Will Grilliette
Publikováno v:
Ann. Funct. Anal. 6, no. 3 (2015), 216-261
This work creates two categories of "array-weighted sets" for the purposes of constructing universal matrix-normed spaces and algebras. These universal objects have the analogous universal property to the free vector space, lifting maps completely bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a757a09185ff22ff46a9f9fceda988c
Publikováno v:
The Electronic Journal of Combinatorics. 20
This work connects the idea of a "blow-up" of a quiver with that of injectivity, showing that for a class of monic maps $\Phi$, a quiver is $\Phi$-injective if and only if all blow-ups of it are as well. This relationship is then used to characterize
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24dd7b33e0efe3cb3d6642a0295f3ac4
https://doi.org/10.37236/2772
https://doi.org/10.37236/2772
Autor:
Will Grilliette
This paper characterizes the injective and projective objects in the category of directed multigraphs, or quivers. Further, the injective envelope and projective cover of any quiver in this category is constructed.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9287f2a387cc1634c6c9ff4d6ba2278e