Abstract
As a generalization of Preston’s kernel normal systems, \(\mathcal{P}\)-kernel normal systems for \(\mathcal{P}\)-inversive semigroups are introduced, and strongly regular \(\mathcal{P}\)-congruences on \(\mathcal{P}\)-inversive semigroups in terms of their \(\mathcal{P}\)-kernel normal systems are characterized. These results generalize the corresponding results for \(\mathcal{P}\)-regular semigroups and \(\mathcal{P}\)-inversive semigroups.
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Communicated by Thomas E. Hall.
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Zheng, H. \(\mathcal{P}\)-kernel normal systems for \(\mathcal{P}\)-inversive semigroups. Semigroup Forum 83, 457–467 (2011). https://doi.org/10.1007/s00233-011-9324-8
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DOI: https://doi.org/10.1007/s00233-011-9324-8