A topological structure on certain initial algebras.

DOI10.1016/j.topol.2014.11.008zbMath1326.06014OpenAlexW2020455737MaRDI QIDQ484291

Yong-Cai Geng, Sumit K. Garg

Publication date: 6 January 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2014.11.008

zbMATH Keywords

Cantor setmonomial algebrasmultiplicative invariantsorderable groupsinitial algebrasLaurent polynomial rings

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ordered groups (06F15) Topological fields, rings, etc. (topological aspects) (54H13)

Related Items (1)

A new class of finitely generated polynomial subalgebras without finite SAGBI bases

Cites Work

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• Free lattice-ordered groups and the space of left orderings
• On initial algebras of multiplicative invariants
• SAGBI bases in rings of multiplicative invariants
• Multiplicative invariant theory
• The infiniteness of the SAGBI bases for certain invariant rings.
• The space of left orders of a group is either finite or uncountable
• COMPACTNESS OF THE SPACE OF LEFT ORDERS
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS

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