4 papers
The Hilbert Basis Theorem for Non-Associative Skew Power Series Rings and Non-Associative Skew Laurent Series Rings over a Non-Associative Coefficient Ring
Darwin P. Mangubat, Jocelyn P. Vilela, Johan Richter
In this paper, we give conditions on a unital non-associative ring and additive map so that the non-associative skew power series ring, denoted by $R[[X…
A Talented Monoid View on Lie Bracket Algebras over Leavitt Path Algebras
Wolfgang Bock, Alfilgen Sebandal, Jocelyn Viliela
In this article, we study properties as simplicity, solvability and nilpotency for Lie bracket algebras arising from Leavitt path algebras, based on the talented monoid of the unde…
The Jordan-Hölder Theorem for Monoids with Group Action
Alfilgen Sebandal, Jocelyn P. Vilela
In this article, we prove an isomorphism theorem for the case of refinement -monoids. Based on this we show a version of the well-known Jordan-Hölder theorem in this framework.…
Graphs with disjoint cycles, classification via the talented monoid
Roozbeh Hazrat, Alfilgen N. Sebandal, Jocelyn P. Vilela
We characterise directed graphs consisting of disjoint cycles via their talented monoids. We show that a graph consists of disjoint cycles precisely when its talented monoid $T…