Canadian Mathematical Bulletin · 1974 · 48 citations · 3 references
Goldie DimensionSchubert CalculusSupermanifoldM-theoryAbstract AlgebraRepresentation TheoryModern AlgebraRing TheoryCommutative AlgebraUniversal AlgebraTheorem 3.1Structure Theorem
The purpose of this note is to offer a equalization of the concept of Goldie dimension and to prove a structure theorem (Theorem 3.1) for modules satisfying the conditions of this dualization. In this paper, all rings considered are associative with unit and all modules are unital.
3
Lectures on Rings and Modules.
Lawrence S. Levy, Joachim Lambek · American Mathematical Monthly · 1969 · 824 citations
Geometry Of Number, Mathematics Education, Modern Algebra +11
A. W. Goldie · Journal of the London Mathematical Society · 1967 · 743 citations · Full text