IN PRAISE OF ORDER UNITS

DOI10.1142/S0219498812501204zbMath1259.06021arXiv1009.5738OpenAlexW2963270357MaRDI QIDQ3144387

David E. Handelman

Publication date: 7 December 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5738

zbMATH Keywords

positivitypartially ordered ringcompact convex polyhedra with interiororder unit cancellation

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Ordered rings, algebras, modules (06F25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Effectiveness of an affine invariant for indecomposable integral polytopes
• Extending traces on fixed point \(C^ *\) algebras under Xerox product type actions of compact Lie groups
• Representing polynomials by positive linear functions on compact convex polyhedra
• Rings with involution as partially ordered Abelian groups
• Rank functions and \(K_0\) of regular rings
• Iterated multiplication of characters of compact connected Lie groups
• Eventual positivity for analytic functions
• Dimension Groups and Their Affine Representations
• More Eventual Positivity for Analytic Functions
• REPRESENTATION RINGS AS INVARIANTS FOR COMPACT GROUPS AND LIMIT RATIO THEOREMS FOR THEM

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