期刊论文详细信息
Journal of the Australian Mathematical Society | |
Lattice-ordered modules of quotients | |
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
【 预 览 】
Files | Size | Format | View |
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RO201912040543283ZK.pdf | 420KB | download |