3 papers
math.CT2026
The Cofree Functor on G-Sets and Its Approximations
Frank Murphy-Hernandez
We study the cofree functor on the category of group actions and examine its categorical and combinatorial properties. Motivated by this construction, we introduce a family of func…
math.RA2025
Classes of Preradicals Induced by Relative Injectivity
Frank Murphy-Hernandez, Jose RÃos
This paper analyzes new classes of preradicals defined as weak forms of left exact and idempotent preradicals. We introduce prehereditary preradicals to generalize the hereditary p…
math.RA2025
Matricial Closure
Frank Murphy-Hernandez, Francisco Raggi, Jose Rios
We study a closure operator derived from the matrix endofunctor on the category of rings with unity. We investigate the invariance of various ring-theoretic properties under this o…