119 citations · 404 across the 26 of their papers we have counts for
27 papers
Quotients of mosaics and related hyperstructures
Siddhant Jajodia, So Nakamura, Manuel Reyes
This is a thorough study of quotients of hyperstructures that generalize hypergroups, namely mosaics and semimosaics. The quotients in these categories generalize those studied pre…
Non-formally integrable centers admitting an algebraic inverse integrating factor
A. Algaba, N. Fuentes, C. Garcia +1
Westudy the existence of a class of inverse integrating factor for a family of non formally integrable systems, in general, whose lowest-degree quasi-homogeneous term is a Hamilton…
A tour of noncommutative spectral theories
Manuel Reyes
This is a survey of noncommutative generalizations of the spectrum of a ring, written for the Notices of the American Mathematical Society.
The domain and prime properties for Koszul rings and algebras
Manuel L. Reyes, Daniel Rogalski
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…
Dual coalgebras of twisted tensor products
Manuel L. Reyes
We investigate cases where the finite dual coalgebra of a twisted tensor product of two algebras is a cotwisted tensor product of their respective finite dual coalgebras. This is a…
Categories of hypermagmas, hypergroups, and related hyperstructures
So Nakamura, Manuel L. Reyes
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 allowi…