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.  
Fund Project:Project supported by Hebei Provincial Natural Science Foundation.
Author NameAffiliation
Gao Ting Dept. of Math.
Hebei Teachers′ University (East Campus)
Shijiazhuang 050016 
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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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