Maximal closed ideals of the Colombeau Algebra of Generalized functions
Maximal closed ideals of the Colombeau Algebra of Generalized functions
Abstract In this paper we investigate the structure of the set of maximal ideals of $${{\mathcal {G}}}(\Omega )$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>G</mml:mi> <mml:mo>(</mml:mo> <mml:mi>Ω</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> . The method of investigation passes through the use of the $$m-$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>-</mml:mo> </mml:mrow> </mml:math> reduction and the ideas …