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• W2964270245 abstract "For an arbitrary ring R, the largest strong left quotient ring Qls(R) of R and the strong left localization radical lRs are introduced and their properties are studied in detail. In particular, it is proved that Qls(Qls(R))≃Qls(R), lR/lRss=0 and a criterion is given for the ring Qls(R) to be a semisimple ring. There is a canonical homomorphism from the classical left quotient ring Ql,cl(R) to Qls(R) which is not an isomorphism, in general. The objects Qls(R) and lRs are explicitly described for several large classes of rings (semiprime left Goldie ring, left Artinian rings, rings with left Artinian left quotient ring, etc.)." @default.
• W2964270245 created "2019-07-30" @default.
• W2964270245 creator A5049477526 @default.
• W2964270245 date "2015-10-01" @default.
• W2964270245 modified "2023-10-16" @default.
• W2964270245 title "The largest strong left quotient ring of a ring" @default.
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• W2964270245 doi "https://doi.org/10.1016/j.jalgebra.2015.04.037" @default.
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