Hereditary torsion theory of pseudo-regular S-systems

The concept of pseudo-regular S-system is introduced. A torsion theory \(\tau _u = \left( {U_S ,\bar U_S } \right)\) with its torsion class U _S consisting of pseudo-regular S-systems, is constructed. Its corresponding quasi-filter is completely described. A number of results on the relations between τ _u and two special torsion theories, the stable and Lambek torsion theories, are obtained.

Authors and Affiliations

1. Center for Advanced Study, Tsinghua University, 100084, Beijing, China

   Derong Qiu

2. Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China

   Derong Qiu

Corresponding author

Correspondence to Derong Qiu.

Communicated by John B. Fountain

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