Hilbert–Samuel functions of well bifiltered modules

DOI10.1142/S1793557116500315zbMath1338.13003OpenAlexW2178532561MaRDI QIDQ2805939

Daouda Sangare, Henri Dichi

Publication date: 13 May 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557116500315

zbMATH Keywords

filtrationsHilbert functionsbigraded modulesHilbert-Samuel functionsquasi-polynomial functionsbifiltrations

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Graded rings and modules (associative rings and algebras) (16W50) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (1)

On the asymptotic behaviour of Hilbert functions of graded rings and modules: applications to the Hilbert-Samuel functions of well filtered modules, multiplicity and analytic spread of nice filtrations

Cites Work

• Combinatorics and commutative algebra
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