| On the Structure of a Radical of Lattice-Ordered Rings |
| Received:January 06, 1995 |
| Key Words:
l-Q ideal l-Q radical l-Q radical ring l-Q semisimple ring.
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| Fund Project:Project supported by Hebei Provincial Natural Science Foundation. |
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| Abstract: |
| We describe the P-radical and the l-B radical of an l- ring from a different angle and obtain the structure theorem of l-Qsemisimple rings. Furthermore, l-Q radical rings are discussed. Lastly, we consider the l-Q radical Q(Rn) of a full l-matrix l- ring Rn over an l-ring R. We show that Q(Rn)=(Q(R)) n. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1997.04.011 |
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