Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Reyes, Manuel L."'
Autor:
Reyes, Manuel L., Rogalski, Daniel
We establish a technique to prove that a Koszul graded ring is prime or a domain using information about its Koszul dual. This is based on a general categorical result that expands on methods of J.Y. Guo, which proves that certain orbital rings are p
Externí odkaz:
http://arxiv.org/abs/2407.13119
Autor:
Reyes, Manuel L.
We investigate cases where the finite dual coalgebra of a twisted tensor product of two algebras is a crossed product coalgebra of their respective finite duals. This is achieved by interpreting the finite dual as a topological dual; in order to prov
Externí odkaz:
http://arxiv.org/abs/2306.17261
Autor:
Nakamura, So, Reyes, Manuel L.
In order to diagnose the cause of some defects in the category of canonical hypergroups, we investigate several categories of hyperstructures that generalize hypergroups. By allowing hyperoperations with possibly empty products, one obtains categorie
Externí odkaz:
http://arxiv.org/abs/2304.09273
Autor:
Cortez, Ida, Reyes, Manuel L.
This note exhibits a new set of 85 three-dimensional integer vectors that has no Kochen-Specker coloring. These vectors represent rank-1 projection matrices with entries in the rational subring $\mathbb{Z}[1/462]$. Consequences are given for (non)con
Externí odkaz:
http://arxiv.org/abs/2211.13216
Autor:
Reyes, Manuel L.
Publikováno v:
J. Algebra 644 (2024), 287-328
In pursuit of a noncommutative spectrum functor, we argue that the Heyneman-Sweedler finite dual coalgebra can be viewed as a quantization of the maximal spectrum of a commutative affine algebra, integrating prior perspectives of Takeuchi, Batchelor,
Externí odkaz:
http://arxiv.org/abs/2111.07081
Autor:
Reyes, Manuel L., Rogalski, Daniel
Publikováno v:
Journal of Algebra 539 (2019), 201-259
We initiate a study of the growth and matrix-valued Hilbert series of non-negatively graded twisted Calabi-Yau algebras that are homomorphic images of path algebras of weighted quivers, generalizing techniques previously used to investigate Artin-Sch
Externí odkaz:
http://arxiv.org/abs/1808.10538
Autor:
Reyes, Manuel L., Rogalski, Daniel
Publikováno v:
Nagoya Mathematical Journal 245 (2022), 100-153
This is a general study of twisted Calabi-Yau algebras that are $\mathbb{N}$-graded and locally finite-dimensional, with the following major results. We prove that a locally finite graded algebra is twisted Calabi-Yau if and only if it is separable m
Externí odkaz:
http://arxiv.org/abs/1807.10249
Autor:
Heunen, Chris, Reyes, Manuel L.
Publikováno v:
Communications in Mathematical Physics 361(2):787-824, 2018
We study the monoidal dagger category of Hilbert C*-modules over a commutative C*-algebra from the perspective of categorical quantum mechanics. The dual objects are the finitely presented projective Hilbert C*-modules. Special dagger Frobenius struc
Externí odkaz:
http://arxiv.org/abs/1704.05725
In this paper we study right $S$-Noetherian rings and modules, extending of notions introduced by Anderson and Dumitrescu in commutative algebra to noncommutative rings. Two characterizations of right $S$-Noetherian rings are given in terms of comple
Externí odkaz:
http://arxiv.org/abs/1701.07207