2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/201455We consider a Moyal plane and propose to make the noncommutativity parameter Θ^{μν} bifermionic, i.e., composed of two fermionic (Grassmann odd) parameters. The Moyal product then contains a finite number of derivatives, which allows to avoid difficulties of the standard approach. As an example, we construct a two-dimensional noncommutative field theory model based on the Moyal product with a bifermionic parameter and show that it has a locally conserved energy-momentum tensor. The model has no problems with the canonical quantization and appears to be renormalizable.8 pages, v2: reference added, v3: misprints correctedHigh Energy Physics - Theorytext