Abstract
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.
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Communicated by John B. Fountain
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Qiu, D. Hereditary torsion theory of pseudo-regular S-systems. Semigroup Forum 66, 131–139 (2002). https://doi.org/10.1007/s002330010147
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DOI: https://doi.org/10.1007/s002330010147