A computational model for algebraic power series

DOI10.1016/0022-4049(92)90029-FzbMath0749.13017MaRDI QIDQ1184020

Mario Raimondo, Ferdinando Mora, M. Emilia Alonso García

Publication date: 28 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Weierstrass preparation theoremWeierstrass division theoremstandard basesNoether normalization lemmasymbolic codification of formal power series

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Formal power series rings (13F25) Relevant commutative algebra (14A05)

Related Items (11)

Formal desingularization of surfaces: The Jung method revisited ⋮ Standard bases in mixed power series and polynomial rings over rings ⋮ Encoding algebraic power series ⋮ The classical Artin approximation theorems ⋮ Effective power series computations ⋮ Computational algebra for bifurcation theory ⋮ La queste del Saint \(\text{Gr}_ a(\text{AL})\): A computational approach to local algebra ⋮ Local Bézout theorem ⋮ Standard bases in \(Kt_1,\ldots ,t_m[x_1,\ldots ,x_n^s\)] ⋮ On Gröbner bases of noncommutative power series ⋮ Diagonal representation of algebraic power series: a glimpse behind the scenes

Cites Work

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