Fair-sized projective modules
A module is called uniserial if it has totally ordered submodules in inclusion. We describe direct summands of for a uniserial module . It appears that any such a summand is isomorphic to a direct sum of copies of at most two uniserial modules.
In the present paper, we will show that the set of minimal elements of a full affine semigroup contains a free basis of the group generated by in . This will be applied to the study of the group for a semilocal ring .
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