Group-graded rings satisfying the strong rank condition

DOI10.1016/j.jalgebra.2019.08.014zbMath1453.16046arXiv1901.10001OpenAlexW2969416239WikidataQ127344278 ScholiaQ127344278MaRDI QIDQ2326447

Karl Lorensen, Peter H. Kropholler

Publication date: 7 October 2019

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

Full work available at URL: https://arxiv.org/abs/1901.10001

zbMATH Keywords

amenable groupstrong rank conditiongroup-graded ring

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Geometric group theory (20F65) Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras (16P99) Graded rings and modules (associative rings and algebras) (16W50) Means on groups, semigroups, etc.; amenable groups (43A07) Ore rings, multiplicative sets, Ore localization (16U20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

2-polyhedra for which every homotopy domination over itself is a homotopy equivalence ⋮ Coherence for elementary amenable groups ⋮ On linear shifts of finite type and their endomorphisms

Cites Work

• Gardens of Eden and amenability on cellular automata
• Methods of graded rings.
• Group rings of polycyclic groups
• Amenability of groups is characterized by Myhill's theorem
• On groups with full Banach mean value
• On the Finiteness of Certain Soluble Groups
• The Garden of Eden theorem for linear cellular automata
• Additive categories and a theorem of W. G. Leavitt
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