### Weak Baer modules over graded rings

Mark Teply, Blas Torrecillas (1998)

Colloquium Mathematicae

Similarity:

In [2], Fuchs and Viljoen introduced and classified the ${B}^{*}$-modules for a valuation ring R: an R-module M is a ${B}^{*}$-module if $Ex{t}_{R}^{1}(M,X)=0$ for each divisible module X and each torsion module X with bounded order. The concept of a ${B}^{*}$-module was extended to the setting of a torsion theory over an associative ring in [14]. In the present paper, we use categorical methods to investigate the ${B}^{*}$-modules for a group graded ring. Our most complete result (Theorem 4.10) characterizes ${B}^{*}$-modules for a strongly graded...