The Jacobson radical of the endomorphism ring of a projective module

R. Ware, J. Zelmanowitz
1970 Proceedings of the American Mathematical Society  
Ina recently published paper [3 ] , the elements of the Jacobson radical of a ring of row-finite matrices over an arbitrary ring R are characterized as those matrices with entries in the Jacobson radical of R which have a vanishing set of column ideals. In this paper, the characterization is extended to include the endomorphism ring of an arbitrary projective module. In the process we offer a greatly simplified proof of the theorem for row-finite matrices.
doi:10.1090/s0002-9939-1970-0262281-8 fatcat:uijkwbup7bglviizzl767jpoqe