The largest strong left quotient ring of a ring

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The largest strong left quotient ring of a ring

For an arbitrary ring R, the largest strong left quotient ring Ql (R) of R and the strong left localization radical lR are introduced and their properties are studied in detail. In particular, it is proved that Ql (Q s l (R)) ≃ Q s l (R), l s R/ls R = 0 and a criterion is given for the ring Ql (R) to be a semisimple ring. There is a canonical homomorphism from the classical left quotient ring Q...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2015

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2015.04.037