Finitistic global dimension for rings

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Abstract

The finitistic global dimensions lfPD(R), lFPD(R), and IFID(R) are defined for a ring R. We obtain the following results for R semiprimary with Jacobson radical N. C is a simple left R-module and I. dimRC < ∞ for i ≧ 3. Then IFID(R) = I. mj. dimRR

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APA

Mochizuki, H. (1965). Finitistic global dimension for rings. Pacific Journal of Mathematics, 15(1), 249–258. https://doi.org/10.2140/pjm.1965.15.249

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