Divisibility and duo-rings

Ulrich Albrecht; Bradley McQuaig

doi:10.4171/rsmup/40

JournalsrsmupVol. 143pp. 81–103

Divisibility and duo-rings

Ulrich Albrecht
Auburn University, USA
Bradley McQuaig
Auburn University, USA

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Abstract

This paper investigates the projective dimension of the maximal right ring of quotients $Q^{r} (R)$ of a right non-singular ring R. Our discussion addresses the question under which conditions pd $(Q) \leq 1$ guarantees that the module $Q / R$ is a direct sum of countably generated modules extending Matlis’ Theorem for integral domains to a non-commutative setting.

Cite this article

Ulrich Albrecht, Bradley McQuaig, Divisibility and duo-rings. Rend. Sem. Mat. Univ. Padova 143 (2020), pp. 81–103

DOI 10.4171/RSMUP/40