Some classes of subsemimodule spaces
Rings and Algebras
2023-03-02 v1
Abstract
The aim of this paper is to study the topological properties of some classes of subsemimodules endowed with a subbasis closed-set topology. We show that such spaces are . When the semimodule is finitely generated, those spaces are compact as well. We characterize subsemimodule spaces for which every nonempty irreducible closed set has a unique generic point. We give a sufficient condition for a connected subsemimodule space, and using the notion of strongly disconnectedness, we determine compact disconnected subsemimodule spaces. Finally, we discuss continuous maps between subsemimodule spaces.
Cite
@article{arxiv.2303.00267,
title = {Some classes of subsemimodule spaces},
author = {Amartya Goswami},
journal= {arXiv preprint arXiv:2303.00267},
year = {2023}
}