Goswami, Amartya2024-10-152024-10-152024-10-011576-9402https://riunet.upv.es/handle/10251/210149[EN] The aim of this paper is to study the topological properties of algebraic sets with zero divisors. We impose a subbasic topology on the set of proper ideals of a k-algebra and this new k-space becomes a generalization of the corresponding Zariski space. We prove that a k-space is T0, quasi-compact, spectral, and connected. Moreover, we study continuous maps between such k-spaces. We conclude with a question about the construction of a sheaf of k-spaces similar to affine schemes.Reconocimiento - No comercial - Compartir igual (by-nc-sa)Geometric pointConnectednessSpectral spaceArtículo10.4995/agt.2024.19887Abierto1989-4147