5 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…
Minimal ring extensions of the integers exhibiting Kochen-Specker contextuality
Ida Cortez, Camilo Morales, Manuel Reyes
This paper is a contribution to the algebraic study of contextuality in quantum theory. As an algebraic analogue of Kochen and Specker's no-hidden-variables result, we investigate…
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…
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…
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.