Localizations of tensor products

  • Manfred Dugas

    Baylor University, Waco, USA
  • Kelly Aceves

    Baylor University, Waco, USA
  • Bradley Wagner

    Baylor University, Waco, USA


A homomorphism λ:AB{\lambda}:A\rightarrow B between RR-modules is called a localization if for all φHomR(A,B){\varphi} \in Hom_{R}(A,B) there is a unique ψHomR(B,B){\psi} \in Hom_{R}(B,B) such that φ=ψλ{\varphi} ={\psi} \circ {\lambda} . We investigate localizations of tensor products of torsion-free abelian groups. For example, we show that the natural multiplication map μ:RRR{\mu}:R\otimes R\rightarrow R is a lo cal iza tion if and only if RR is an E-ring.

Cite this article

Manfred Dugas, Kelly Aceves, Bradley Wagner, Localizations of tensor products. Rend. Sem. Mat. Univ. Padova 131 (2014), pp. 237–258

DOI 10.4171/RSMUP/131-14