\mathcal{P}-kernel normal systems for \mathcal{P}-inversive semigroupsReport as inadecuate

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Semigroup Forum

, Volume 83, Issue 3, pp 457–467

First Online: 09 July 2011Received: 20 January 2010Accepted: 29 June 2010


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.

KeywordsE-inversive semigroup \\mathcal{P}\-inversive semigroup Strongly regular \\mathcal{P}\-congruence \\mathcal{P}\-kernel normal system Communicated by Thomas E. Hall.

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Author: Hengwu Zheng

Source: https://link.springer.com/

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