https://revistaschilenas.uchile.cl/handle/2250/6590 2026-05-11T02:53:59Z https://revistaschilenas.uchile.cl/handle/2250/255589 Stationary solutions of magneto-micropolar fluid equations in exterior domains We establish the existence and uniqueness of the solution for the magneto-micropolar fluid equations in the case of exterior domains in IR3 . First, we prove the existence of at least one weak solution of the stationary system. Then we discuss its uniqueness. https://revistaschilenas.uchile.cl/handle/2250/255591 On the invariance of subspaces in some baric algebras 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. https://revistaschilenas.uchile.cl/handle/2250/255590 On certain properties of some generalized special functions In this paper, we derive a result concerning eigenvector for the product of two operators defined on a Lie algebra of endomorphisms of a vector space. The results given by Radulescu, Mandal and authors follow as special cases of this result. Further using these results, we deduce certain properties of generalized Hermite polynomials and Hermite Tricomi functions. https://revistaschilenas.uchile.cl/handle/2250/255604 Topologies polaires compatibles avec une dualité séparante sur un corps value non-archiméedien In this paper, we deal with polar topologies in separated dual pair hX, Y i of vector spaces over a non-archimedean valued field. We study compatible polar topologies, and we give some results characterizing specific subsets of X related to these topologies, especially if the field K is spherically complete or the compatible topology is polar or strongly polar. Furthermore, we investigate some topological properties in the duality hX, Y i such as barreldness and reflexivity.