Covering numbers of commutative rings

DOI10.1016/j.jpaa.2020.106622zbMath1478.16015arXiv2008.13218OpenAlexW3127329390MaRDI QIDQ2022441

Eric Swartz, Nicholas J. Werner

Publication date: 29 April 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13218

zbMATH Keywords

coveringsubring cover

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite commutative rings (13M99) Combinatorial aspects of groups and algebras (05E16)

Related Items (3)

Countably coverable rings ⋮ The covering numbers of rings ⋮ A new infinite family of σ -elementary rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rings as the unions of proper subrings.
• Vector spaces as unions of proper subspaces
• A ring which is a sum of two PI subrings is always a PI ring
• On the representation of fields as finite sums of proper subfields
• Covering numbers of upper triangular matrix rings over finite fields
• Subrings of finite index in finitely generated rings
• Sets of Elements that Pairwise Generate a Matrix Ring
• Covering Numbers of Finite Rings
• Covering theorems for Artinian rings
• Groups as the union of proper subgroups.
• Maximal Subrings and Covering Numbers of Finite Semisimple Rings
• On $n$-Sum Groups.
• Groups Covered By Permutable Subsets

This page was built for publication: Covering numbers of commutative rings