a Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
b Department of Mathematics, Faculty of Science, Helwan University, Helwan, Cairo, Egypt
Abstract:
In this note we find the necessary and sufficient conditions which implies that the Dilworth number of non-commutative noetherian local ring equals one. In addition we discuss briefly connections to non-commutative geometry,
theory and particle physics.