$\mathcal{P}$-kernel normal systems for $\mathcal{P}$-inversive semigroups |
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Authors: | Hengwu Zheng |
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Institution: | 1.School of Mathematical Sciences,Qufu Normal University,Qufu,P.R. China |
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Abstract: | As a generalization of Preston’s kernel normal systems, P\mathcal{P}-kernel normal systems for P\mathcal{P}-inversive semigroups are introduced, and strongly regular P\mathcal{P}-congruences on P\mathcal{P}-inversive semigroups in terms of their P\mathcal{P}-kernel normal systems are characterized. These results generalize the corresponding results for P\mathcal{P}-regular semigroups and P\mathcal{P}-inversive semigroups. |
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