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- W4322832247 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 $T_0$. 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." @default.
- W4322832247 created "2023-03-03" @default.
- W4322832247 creator A5052544818 @default.
- W4322832247 date "2023-03-01" @default.
- W4322832247 modified "2023-09-27" @default.
- W4322832247 title "Some classes of subsemimodule spaces" @default.
- W4322832247 doi "https://doi.org/10.48550/arxiv.2303.00267" @default.
- W4322832247 hasPublicationYear "2023" @default.
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