The Zariski covering number for vector spaces and modules

DOI10.1080/00927872.2021.1995741zbMath1483.13034arXiv2108.12853OpenAlexW3211781936MaRDI QIDQ5067668

Soham Ghosh

Publication date: 4 April 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12853

zbMATH Keywords

Zariski topologyBaire spacescovering numberdual Goldie dimension

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Principal ideal rings (13F10) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Connections of general topology with other structures, applications (54H99) Local rings and semilocal rings (13H99)

Related Items

The covering numbers of rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vector spaces as unions of proper subspaces
• A note on unions of ideals and cosets of ideals
• On the covering type of a space
• Modules covered by finite unions of submodules
• Dual goldie dimension
• Dual goldie dimension - II
• Abelian Groups that are unions of proper subgroups
• Finite Unions of Ideals and Modules
• Modules with Finite Spanning Dimension
• Covering modules by proper submodules
• Algèbre