# metadata.dc.description[].value
Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Any: 2026.  Director: Carlos D’Andrea i Ana Belén de Felipe

# metadata.dc.description.abstract[].value
Copilot said: In this text, we develop a theory of Gröbner bases for $\Sigma$-algebras. To do so, we first give introductory notions on Gröbner bases, and on $\Sigma$-algebras. Moreover, we propose a method to represent certain monomial orderings of $\Sigma$-polynomial algebras via infinite matrices. Within this setting, and despite the non-Noetherianity, we present an algorithm to compute Gröbner bases whenever feasible. Finally, we illustrate these concepts with an example and provide implementations of the proposed algorithms.

# metadata.dc.rights[].value
cc by-nc-nd (c) Pérez Arrese-Igor, Iker, 2026