@article{Basso_Costa_Picanco_2017, title={On the invariance of subspaces in some baric algebras}, volume={22}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1495}, DOI={10.4067/S0716-09172003000100006}, abstractNote={<p>In this article, we look for invariance in commutative baric algebras (A, ?) satisfying (x 2 ) 2 = ?(x)x 3 and in algebras satisfying (x 2 ) 2 = ?(x 3 )x, using subspaces of kernel of ? that can be obtained by polynomial expressions of subspaces Ue e Ve of Peirce decomposition A = Ke ? Ue ? Ve of A, where e is an idempotent element. Such subspaces are called p -subspaces. Basically, we prove that for these algebras, the p -subspaces have invariant dimension, besides that, we find out necessary and sufficient conditions for the invariance of the p-subspaces.</p>}, number={1}, journal={Proyecciones (Antofagasta, On line)}, author={Basso, I. and Costa, R. and Picanco, J.}, year={2017}, month={Apr.}, pages={91-102} }