Global dimension of real-exponent polynomial rings

DOI10.2140/ant.2023.17.1779arXiv2109.04924OpenAlexW3200470086MaRDI QIDQ6142630

Ezra Miller, Nathan Geist

Publication date: 4 January 2024

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04924

zbMATH Keywords

polynomial ringglobal dimensioncommutative ringpersistent homologyhomological dimensionmonoid algebraflat dimensionreal conequantum noncommutative toric varietyreal-exponent polynomial

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Noncommutative algebraic geometry (14A22) Homological dimension and commutative rings (13D05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Syzygies, resolutions, complexes and commutative rings (13D02) Ordered semigroups and monoids (06F05) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Topological data analysis (62R40)

Cites Work

• The theory of the interleaving distance on multidimensional persistence modules
• Ephemeral persistence modules and distance comparison
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• The subscript of ℵ_{𝑛} ,projective dimension, and the vanishing of lim_{←}⁽ⁿ⁾
• Global Dimension of Valuation Rings
• Stratifications of real vector spaces from constructible sheaves with conical microsupport
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