3 papers
cs.IT2025
Adjoint and duality for rank-metric codes in a skew polynomial framework
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro +1
Skew polynomial rings provide a fundamental example of noncommutative principal ideal domains. Special quotients of these rings yield matrix algebras that play a central role in th…
math.RA2025
Skew Laurent Series and General Cyclic Convolutional Codes
José Gómez-Torrecillas, José Patricio Sánchez-Hernández
Convolutional codes were originally conceived as vector subspaces of a finite-dimensional vector space over a field of Laurent series having a polynomial basis. Piret and Roos mode…
math.RA2008
A bicategorical version of Masuoka's theorem. Applications to bimodules over functor categories and to firm bimodules
J. Gómez-Torrecillas, B. Mesablishvili
We give a bicategorical version of the main result of A. Masuoka ({Corings and invertible bimodules,} {\em Tsukuba J. Math.} \textbf{13} (1989), 353--362) which proposes a non-comm…