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The strong radical and finite-dimensional ideals |
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| Authors: | Bertram Yood |
| Institution: | Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 |
| Abstract: | Let  be a semi-prime Banach algebra with strong radical  (intersection of its two-sided modular maximal ideals). A minimal left or right ideal  of  is infinite-dimensional if and only if  . Thus all minimal one-sided ideals in  are finite-dimensional if  is strongly semi-simple. |
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