Lattice-ordered modules of quotients

Journal of the Australian Mathematical Society

Stuart A. Steinberg¹ 

关键词: 06 F 25;    16 A 08;    16 A 86;   

DOI  :  10.1017/S1446788700016530

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let Q be the ring of quotients of the f-ring R with respect to a positive hereditary torsion theory and suppose Q is a right f-ring. It is shown that if the finitely-generated right ideals of R are principal, then Q is an f-ring. Also, if QR is injective, Q is an f-ring if and only if its Jacobson radical is convex. Moreover, a class of po-rings is introduced (which includes the classes of commutative po-rings and right convex f-rings) over which Q(M) is an f-module for each f-module M.

【 授权许可】

Unknown