Quotient Rings of Endomorphism Rings of Modules with Zero Singular Submodule

John Hutchinson, Julius Zelmanowitz
1972 Proceedings of the American Mathematical Society  
Throughout this paper («, M, N, S) will denote a Morita context satisfying a certain nonsingularity condition. For such contexts we give necessary and sufficient conditions in terms of M and « for S to have a semisimple maximal left quotient ring; respectively a full linear maximal left quotient ring, a semisimple classical left quotient ring. In doing so we extend the corresponding well-known theorems for rings (employing them in the process) to endomorphism rings.
doi:10.2307/2038429 fatcat:vdpziug5xrgptclexdz7rvasau