Asymptotic Ideals (Ideals in the Ring of Colombeau Generalized Constants with Continuous Parametrization)

DOI10.1080/00927872.2013.772189zbMath1311.54011arXiv1210.5634OpenAlexW2592957127MaRDI QIDQ5412108

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Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5634

zbMATH Keywords

asymptotic analysismaximal idealring of continuous functionsz-filterring of generalized functions

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Algebraic properties of function spaces in general topology (54C40) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (1)

Maximal closed ideals of the Colombeau algebra of generalized functions

Cites Work

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• Homogeneity problems in the theory of Cech compactifications
• Convex and pseudoprime ideals in rings of continuous functions
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• Groupes et anneaux reticules
• z-ideals and prime ideals
• SOME STRUCTURAL PROPERTIES OF THE TOPOLOGICAL RING OF COLOMBEAU'S GENERALIZED NUMBERS
• Colombeau's generalized functions: Topological structures, microlocal properties - a simplified point of view - part II
• Ideals in the Ring of Colombeau Generalized Numbers
• Ultrafilters on a countable set

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