A theorem on Noetherian hereditary rings
A theorem on Noetherian hereditary rings
It is shown (Theorem 2) that a semi-prime, left noetherian, left hereditary, two-sided Goldie ring is right noetherian if and only if the right module (Q/R) φ R contains a copy of every simple right iέ-module, where Q is the classical quotient ring of R. Theorem 5 gives several necessary …