The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Dualities over compact rings”

Hopfian and co-Hopfian objects.

Kalathoor Varadarajan (1992)

Publicacions Matemàtiques

Similarity:

The aim of the present paper is to study Hopfian and Co-Hopfian objects in categories like the category of rings, the module categories A-mod and mod-A for any ring A. Using Stone's representation theorem any Boolean ring can be regarded as the ring A of clopen subsets of compact Hausdorff totally disconnected space X. It turns out that the Boolean ring A will be Hopfian (resp. co-Hopfian) if and only if the space X is co-Hopfian (resp. Hopfian) in the category . For any compact Hausdorff...

Kasch bimodules

D. N. Dikranjan, E. Gregorio, A. Orsatti (1991)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Embedding torsionless modules in projectives.

Carl Faith (1990)

Publicacions Matemàtiques

Similarity:

In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring R is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.