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A note on |
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| Authors: | Paul Hill |
| Affiliation: | Department of Mathematics, Auburn University, Alabama 36849 |
| Abstract: | We answer questions raised by P. Danchev in a recent paper in these Proceedings. It is shown that a  -summable abelian  -group is not determined by its socle, that is, two such groups can have isometric socles without being isomorphic. It is also demonstrated that  -summability plays essentially no role in regard to the question of whether or not  is totally projective, where  denotes the group of normalized units of the group algebra  with  being a perfect field of characteristic  . |
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