Abstract
The purpose of this note is to show that the only idempotent kernel functor σ on Mod-R, whereR is a semiprime ring andR R has finite σ-length, is the idempotent kernel functorZ corresponding to the Goldie torsion theory.
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References
O. Goldman,Rings and modules of quotients, J. Algebra,13 (1969), 10–47.
O. Goldman,Elements of non-commutative arithmetic 1. J. Algebra35 (1975), 308–341.
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Goel, V.K., Jain, S.K. & Singh, S. Semiprime rings with finite length W.R.T. an idempotent kernel functor. Israel J. Math. 28, 110–112 (1977). https://doi.org/10.1007/BF02759786
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DOI: https://doi.org/10.1007/BF02759786