Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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Stanley decompositions in localized polynomial rings [PDF]
Manuscripta Mathematica, 2010 12 pages, 2 ...
Nasir, Sumiya, Rauf, Asia
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Stanley decompositions and polarization [PDF]
Czechoslovak Mathematical Journal, 2011 9 ...
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Stanley decompositions of the Bracket ring.
MATHEMATICA SCANDINAVICA, 1990 We give an explicit Stanley decomposition of the bracket ring \({\mathbb{B}}_{n,d}\), that is, the commutative ring generated by the \(d\times d\)-minors of a generic \(n\times d\)-matrix. A Stanley decomposition is a direct sum decomposition of the additive group of the ring, each summand of which is a bracket monomial times a subring generated freely
Sturmfels, Bernd, White, Neil
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Monomial ideals of minimal depth
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let S be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of S having minimal depth. In particular, Stanley's conjecture holds for these ideals.
Ishaq Muhammad
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Depth and Stanley depth of the edge ideals of the powers of paths and cycles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Let k be a positive integer. We compute depth and Stanley depth of the quotient ring of the edge ideal associated to the kth power of a path on n vertices.
Iqbal Zahid, Ishaq Muhammad
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Disaggregated ESG Risk in European Asset Pricing Based on ESG Leaders Data [PDF]
ACTA VŠFSBackground: This study investigates the conditional pricing of environmental, social, governance (ESG)-related risk exposures – specifically ESG, carbon intensity, and controversy – using portfolio-level data from firms in the Morgan Stanley Capital ...
Salzmann, Eleonora
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Stanley Kaizawa interview, November 2001 [PDF]
, 2001 Interview on 'Kabuki censorship during the Occupation of Japan between Stanley Kaizawa and James BrandonNovember, 2001, transcribed ...
Brandon, James R.
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Stanley decompositions of rings of invariants and certain highest weight Harish-Chandra modules
, 2023 The first half of this paper is largely expository, wherein we present a systematic combinatorial approach to the theory of polynomial (semi)invariants and multilinear invariants of several vectors and covectors, for the classical groups. This culminates in a graphical description of graded linear bases.
Erickson, William Q., Hunziker, Markus
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Phanerozoic Large Igneous Province, Petroleum System, and Source Rock Links
Geophysical Monograph Series, Page 191-228., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Steven C. Bergman +2 more
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